46255744755264 has 224 divisors, whose sum is σ = 145383923404800. Its totient is φ = 12821258741760.

The previous prime is 46255744755257. The next prime is 46255744755331.

46255744755264 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 46255744755195 and 46255744755204.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18710512 + ... + 21037935.

Almost surely, 2^{46255744755264} is an apocalyptic number.

46255744755264 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

46255744755264 is an abundant number, since it is smaller than the sum of its proper divisors (99128178649536).

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

46255744755264 is a wasteful number, since it uses less digits than its factorization.

46255744755264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39748521 (or 39748511 counting only the distinct ones).

The product of its digits is 1128960000, while the sum is 66.

The spelling of 46255744755264 in words is "forty-six trillion, two hundred fifty-five billion, seven hundred forty-four million, seven hundred fifty-five thousand, two hundred sixty-four".