46245511554264 has 256 divisors, whose sum is σ = 144983958912000. Its totient is φ = 13529278264320.

The previous prime is 46245511554257. The next prime is 46245511554337.

46245511554264 is a `hidden beast` number, since 4 + 6 + 2 + 4 + 55 + 11 + 554 + 26 + 4 = 666.

46245511554264 is nontrivially palindromic in base 10.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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 46245511554264.

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, 924459957 + ... + 924509979.

It is an arithmetic number, because the mean of its divisors is an integer number (566343589500).

Almost surely, 2^{46245511554264} is an apocalyptic number.

46245511554264 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 46245511554264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72491979456000).

46245511554264 is an abundant number, since it is smaller than the sum of its proper divisors (98738447357736).

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

46245511554264 is a wasteful number, since it uses less digits than its factorization.

46245511554264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63495 (or 63485 counting only the distinct ones).

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

The spelling of 46245511554264 in words is "forty-six trillion, two hundred forty-five billion, five hundred eleven million, five hundred fifty-four thousand, two hundred sixty-four".