46431566251104 has 48 divisors (see below), whose sum is σ = 127182116259072. Its totient is φ = 14804267499648.

The previous prime is 46431566251087. The next prime is 46431566251177. The reversal of 46431566251104 is 40115266513464.

46431566251104 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10514392324 + ... + 10514396739.

It is an arithmetic number, because the mean of its divisors is an integer number (2649627422064).

Almost surely, 2^{46431566251104} is an apocalyptic number.

It is an amenable number.

46431566251104 is an abundant number, since it is smaller than the sum of its proper divisors (80750550007968).

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

46431566251104 is a wasteful number, since it uses less digits than its factorization.

46431566251104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21028789099 (or 21028789091 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 48.

The spelling of 46431566251104 in words is "forty-six trillion, four hundred thirty-one billion, five hundred sixty-six million, two hundred fifty-one thousand, one hundred four".