46381590528000 has 1920 divisors, whose sum is σ = 193964702131200. Its totient is φ = 9780225638400.

The previous prime is 46381590527989. The next prime is 46381590528043. The reversal of 46381590528000 is 82509518364.

It is a tau number, because it is divible by the number of its divisors (1920).

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, 27396095154 + ... + 27396096846.

It is an arithmetic number, because the mean of its divisors is an integer number (101023282360).

Almost surely, 2^{46381590528000} is an apocalyptic number.

46381590528000 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 46381590528000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96982351065600).

46381590528000 is an abundant number, since it is smaller than the sum of its proper divisors (147583111603200).

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

46381590528000 is an equidigital number, since it uses as much as digits as its factorization.

46381590528000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1773 (or 1723 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 51.

The spelling of 46381590528000 in words is "forty-six trillion, three hundred eighty-one billion, five hundred ninety million, five hundred twenty-eight thousand".