431733100096 has 63 divisors (see below), whose sum is σ = 895839456603. Its totient is φ = 206423226240.

The previous prime is 431733100069. The next prime is 431733100103. The reversal of 431733100096 is 690001337134.

The square root of 431733100096 is 657064.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 120897991 + ... + 120901561.

Almost surely, 2^431733100096 is an apocalyptic number.

431733100096 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

431733100096 is the 657064-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 431733100096

431733100096 is an abundant number, since it is smaller than the sum of its proper divisors (464106356507).

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

431733100096 is an frugal number, since it uses more digits than its factorization.

431733100096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7200 (or 3596 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 37.

The spelling of 431733100096 in words is "four hundred thirty-one billion, seven hundred thirty-three million, one hundred thousand, ninety-six".