46238536544256 has 2496 divisors, whose sum is σ = 177231327436800. Its totient is φ = 11985978654720.

The previous prime is 46238536544243. The next prime is 46238536544269. The reversal of 46238536544256 is 65244563583264.

46238536544256 is a `hidden beast` number, since 4 + 6 + 2 + 3 + 8 + 5 + 36 + 544 + 2 + 56 = 666.

It is an interprime number because it is at equal distance from previous prime (46238536544243) and next prime (46238536544269).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 46238536544193 and 46238536544202.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 179916484480 + ... + 179916484736.

It is an arithmetic number, because the mean of its divisors is an integer number (71006140800).

Almost surely, 2^{46238536544256} 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 46238536544256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88615663718400).

46238536544256 is an abundant number, since it is smaller than the sum of its proper divisors (130992790892544).

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

46238536544256 is an equidigital number, since it uses as much as digits as its factorization.

46238536544256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365 (or 317 counting only the distinct ones).

The product of its digits is 497664000, while the sum is 63.

The spelling of 46238536544256 in words is "forty-six trillion, two hundred thirty-eight billion, five hundred thirty-six million, five hundred forty-four thousand, two hundred fifty-six".