46864336752000 has 1024 divisors, whose sum is σ = 177797887488000. Its totient is φ = 12124040601600.

The previous prime is 46864336751993. The next prime is 46864336752053. The reversal of 46864336752000 is 25763346864.

46864336752000 is a `hidden beast` number, since 4 + 6 + 86 + 4 + 3 + 36 + 7 + 520 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5738251917 + ... + 5738260083.

It is an arithmetic number, because the mean of its divisors is an integer number (173630749500).

Almost surely, 2^{46864336752000} is an apocalyptic number.

46864336752000 is a gapful number since it is divisible by the number (40) 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 46864336752000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88898943744000).

46864336752000 is an abundant number, since it is smaller than the sum of its proper divisors (130933550736000).

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

46864336752000 is a wasteful number, since it uses less digits than its factorization.

46864336752000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8601 (or 8573 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 54.

The spelling of 46864336752000 in words is "forty-six trillion, eight hundred sixty-four billion, three hundred thirty-six million, seven hundred fifty-two thousand".