46390800624 has 80 divisors (see below), whose sum is σ = 137175648768. Its totient is φ = 13233966336.

The previous prime is 46390800601. The next prime is 46390800661. The reversal of 46390800624 is 42600809364.

It is a happy number.

46390800624 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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, 110694 + ... + 324090.

Almost surely, 2^46390800624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46390800624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68587824384).

46390800624 is an abundant number, since it is smaller than the sum of its proper divisors (90784848144).

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

46390800624 is a wasteful number, since it uses less digits than its factorization.

46390800624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214062 (or 214056 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

The spelling of 46390800624 in words is "forty-six billion, three hundred ninety million, eight hundred thousand, six hundred twenty-four".