46146180864 has 288 divisors, whose sum is σ = 145790507520. Its totient is φ = 12678414336.

The previous prime is 46146180853. The next prime is 46146180877. The reversal of 46146180864 is 46808164164.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54098262 + ... + 54099114.

It is an arithmetic number, because the mean of its divisors is an integer number (506217040).

Almost surely, 2^46146180864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46146180864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72895253760).

46146180864 is an abundant number, since it is smaller than the sum of its proper divisors (99644326656).

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

46146180864 is a wasteful number, since it uses less digits than its factorization.

46146180864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1255 (or 1241 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 48.

The spelling of 46146180864 in words is "forty-six billion, one hundred forty-six million, one hundred eighty thousand, eight hundred sixty-four".