46514611641564 has 192 divisors, whose sum is σ = 131895465676800. Its totient is φ = 14059047268800.

The previous prime is 46514611641551. The next prime is 46514611641571.

It is a happy number.

46514611641564 is a `hidden beast` number, since 4 + 6 + 5 + 1 + 4 + 6 + 11 + 64 + 1 + 564 = 666.

46514611641564 is nontrivially palindromic in base 10.

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 46514611641564.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1163456127 + ... + 1163496105.

It is an arithmetic number, because the mean of its divisors is an integer number (686955550400).

Almost surely, 2^{46514611641564} is an apocalyptic number.

46514611641564 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 46514611641564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65947732838400).

46514611641564 is an abundant number, since it is smaller than the sum of its proper divisors (85380854035236).

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

46514611641564 is a wasteful number, since it uses less digits than its factorization.

46514611641564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42501 (or 42493 counting only the distinct ones).

The product of its digits is 8294400, while the sum is 54.

The spelling of 46514611641564 in words is "forty-six trillion, five hundred fourteen billion, six hundred eleven million, six hundred forty-one thousand, five hundred sixty-four".