45472626950400 has 324 divisors, whose sum is σ = 175080669016708. Its totient is φ = 11193261834240.

The previous prime is 45472626950393. The next prime is 45472626950437. The reversal of 45472626950400 is 405962627454.

45472626950400 is a `hidden beast` number, since 4 + 5 + 4 + 7 + 2 + 626 + 9 + 5 + 0 + 4 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 466346946816 + 45006280003584 = 682896^2 + 6708672^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 29614867 + ... + 31112466.

Almost surely, 2^{45472626950400} is an apocalyptic number.

45472626950400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45472626950400 is an abundant number, since it is smaller than the sum of its proper divisors (129608042066308).

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

45472626950400 is a wasteful number, since it uses less digits than its factorization.

45472626950400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60727378 (or 60727356 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 54.

The spelling of 45472626950400 in words is "forty-five trillion, four hundred seventy-two billion, six hundred twenty-six million, nine hundred fifty thousand, four hundred".