73416138900 has 144 divisors (see below), whose sum is σ = 228914515200. Its totient is φ = 18059235840.

The previous prime is 73416138899. The next prime is 73416138937. The reversal of 73416138900 is 983161437.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6503461 + ... + 6514739.

Almost surely, 2^73416138900 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 73416138900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114457257600).

73416138900 is an abundant number, since it is smaller than the sum of its proper divisors (155498376300).

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

73416138900 is a wasteful number, since it uses less digits than its factorization.

73416138900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12978 (or 12971 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The spelling of 73416138900 in words is "seventy-three billion, four hundred sixteen million, one hundred thirty-eight thousand, nine hundred".