46520155102564 has 36 divisors (see below), whose sum is σ = 96168346470000. Its totient is φ = 19518946193760.

The previous prime is 46520155102549. The next prime is 46520155102601.

46520155102564 is nontrivially palindromic in base 10.

46520155102564 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×46520155102564² (a number of 28 digits) contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 3128028814 + ... + 3128043685.

It is an arithmetic number, because the mean of its divisors is an integer number (2671342957500).

Almost surely, 2^{46520155102564} is an apocalyptic number.

46520155102564 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

46520155102564 is an abundant number, since it is smaller than the sum of its proper divisors (49648191367436).

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

46520155102564 is a wasteful number, since it uses less digits than its factorization.

46520155102564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6256072540 (or 6256072525 counting only the distinct ones).

The product of its (nonzero) digits is 1440000, while the sum is 46.

It can be divided in two parts, 4652015 and 5102564, that added together give a palindrome (9754579).

The spelling of 46520155102564 in words is "forty-six trillion, five hundred twenty billion, one hundred fifty-five million, one hundred two thousand, five hundred sixty-four".