46542155124564 has 192 divisors, whose sum is σ = 133278824878080. Its totient is φ = 13928121123840.

The previous prime is 46542155124559. The next prime is 46542155124571.

46542155124564 is a `hidden beast` number, since 4 + 6 + 5 + 4 + 2 + 1 + 5 + 51 + 24 + 564 = 666.

46542155124564 is nontrivially palindromic in base 10.

46542155124564 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 46542155124564.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 52918107 + ... + 53790429.

It is an arithmetic number, because the mean of its divisors is an integer number (694160546240).

Almost surely, 2^{46542155124564} is an apocalyptic number.

46542155124564 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46542155124564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66639412439040).

46542155124564 is an abundant number, since it is smaller than the sum of its proper divisors (86736669753516).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

46542155124564 is a wasteful number, since it uses less digits than its factorization.

46542155124564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 872907 (or 872899 counting only the distinct ones).

The product of its digits is 23040000, while the sum is 54.

It can be divided in two parts, 4654215 and 5124564, that added together give a palindrome (9778779).

The spelling of 46542155124564 in words is "forty-six trillion, five hundred forty-two billion, one hundred fifty-five million, one hundred twenty-four thousand, five hundred sixty-four".