45639193600 has 792 divisors, whose sum is σ = 153844135488. Its totient is φ = 13035110400.

The previous prime is 45639193577. The next prime is 45639193619. The reversal of 45639193600 is 639193654.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 333132732 + ... + 333132868.

Almost surely, 2^45639193600 is an apocalyptic number.

45639193600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45639193600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76922067744).

45639193600 is an abundant number, since it is smaller than the sum of its proper divisors (108204941888).

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

45639193600 is a wasteful number, since it uses less digits than its factorization.

45639193600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 524880, while the sum is 46.

The spelling of 45639193600 in words is "forty-five billion, six hundred thirty-nine million, one hundred ninety-three thousand, six hundred".