46579872918264 has 256 divisors, whose sum is σ = 142499934720000. Its totient is φ = 12391284842496.

The previous prime is 46579872918233. The next prime is 46579872918307. The reversal of 46579872918264 is 46281927897564.

It is a super-2 number, since 2×46579872918264² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 46579872918264.

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, 807709959 + ... + 807767625.

It is an arithmetic number, because the mean of its divisors is an integer number (556640370000).

Almost surely, 2^{46579872918264} 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 46579872918264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71249967360000).

46579872918264 is an abundant number, since it is smaller than the sum of its proper divisors (95920061801736).

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

46579872918264 is a wasteful number, since it uses less digits than its factorization.

46579872918264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62050 (or 62046 counting only the distinct ones).

The product of its digits is 2926264320, while the sum is 78.

The spelling of 46579872918264 in words is "forty-six trillion, five hundred seventy-nine billion, eight hundred seventy-two million, nine hundred eighteen thousand, two hundred sixty-four".