46359160786944 has 208 divisors, whose sum is σ = 137357604964800. Its totient is φ = 15451490156544.

The previous prime is 46359160786931. The next prime is 46359160786957. The reversal of 46359160786944 is 44968706195364.

46359160786944 is a `hidden beast` number, since 4 + 6 + 3 + 5 + 9 + 1 + 607 + 8 + 6 + 9 + 4 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (46359160786931) and next prime (46359160786957).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1734400972 + ... + 1734427700.

Almost surely, 2^{46359160786944} 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 46359160786944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68678802482400).

46359160786944 is an abundant number, since it is smaller than the sum of its proper divisors (90998444177856).

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

46359160786944 is a wasteful number, since it uses less digits than its factorization.

46359160786944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42445 (or 42417 counting only the distinct ones).

The product of its (nonzero) digits is 940584960, while the sum is 72.

The spelling of 46359160786944 in words is "forty-six trillion, three hundred fifty-nine billion, one hundred sixty million, seven hundred eighty-six thousand, nine hundred forty-four".