46077926948928 has 504 divisors, whose sum is σ = 157016669659200. Its totient is φ = 12654775756800.

The previous prime is 46077926948903. The next prime is 46077926948951. The reversal of 46077926948928 is 82984962977064.

46077926948928 is a `hidden beast` number, since 4 + 6 + 0 + 7 + 79 + 2 + 69 + 489 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 577298143 + ... + 577377953.

Almost surely, 2^{46077926948928} is an apocalyptic number.

46077926948928 is a gapful number since it is divisible by the number (48) 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 46077926948928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78508334829600).

46077926948928 is an abundant number, since it is smaller than the sum of its proper divisors (110938742710272).

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

46077926948928 is a wasteful number, since it uses less digits than its factorization.

46077926948928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80047 (or 80003 counting only the distinct ones).

The product of its (nonzero) digits is 5267275776, while the sum is 81.

The spelling of 46077926948928 in words is "forty-six trillion, seventy-seven billion, nine hundred twenty-six million, nine hundred forty-eight thousand, nine hundred twenty-eight".