45046628352 has 408 divisors, whose sum is σ = 145746757728. Its totient is φ = 13290700800.

The previous prime is 45046628327. The next prime is 45046628371. The reversal of 45046628352 is 25382664054.

45046628352 is a `hidden beast` number, since 4 + 504 + 6 + 62 + 83 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 45046628298 and 45046628307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 343867327 + ... + 343867457.

Almost surely, 2^45046628352 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 45046628352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72873378864).

45046628352 is an abundant number, since it is smaller than the sum of its proper divisors (100700129376).

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

45046628352 is a wasteful number, since it uses less digits than its factorization.

45046628352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

The spelling of 45046628352 in words is "forty-five billion, forty-six million, six hundred twenty-eight thousand, three hundred fifty-two".