46915204768000 has 144 divisors (see below), whose sum is σ = 117124099013376. Its totient is φ = 18725544499200.

The previous prime is 46915204767919. The next prime is 46915204768037. The reversal of 46915204768000 is 86740251964.

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, 13232739 + ... + 16399261.

It is an arithmetic number, because the mean of its divisors is an integer number (813361798704).

Almost surely, 2^{46915204768000} is an apocalyptic number.

46915204768000 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 46915204768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58562049506688).

46915204768000 is an abundant number, since it is smaller than the sum of its proper divisors (70208894245376).

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

46915204768000 is an equidigital number, since it uses as much as digits as its factorization.

46915204768000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3167017 (or 3166993 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 52.

The spelling of 46915204768000 in words is "forty-six trillion, nine hundred fifteen billion, two hundred four million, seven hundred sixty-eight thousand".