46400866608624 has 80 divisors (see below), whose sum is σ = 135275253793920. Its totient is φ = 13576011124480.

The previous prime is 46400866608623. The next prime is 46400866608631. The reversal of 46400866608624 is 42680666800464.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46400866608623) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1515164502 + ... + 1515195125.

It is an arithmetic number, because the mean of its divisors is an integer number (1690940672424).

Almost surely, 2^{46400866608624} is an apocalyptic number.

46400866608624 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

46400866608624 is an abundant number, since it is smaller than the sum of its proper divisors (88874387185296).

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

46400866608624 is a wasteful number, since it uses less digits than its factorization.

46400866608624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3030359678 (or 3030359672 counting only the distinct ones).

The product of its (nonzero) digits is 63700992, while the sum is 60.

The spelling of 46400866608624 in words is "forty-six trillion, four hundred billion, eight hundred sixty-six million, six hundred eight thousand, six hundred twenty-four".