191731134672 has 480 divisors, whose sum is σ = 713678766080. Its totient is φ = 48190982400.

The previous prime is 191731134649. The next prime is 191731134701. The reversal of 191731134672 is 276431137191.

191731134672 is a `hidden beast` number, since 1 + 9 + 1 + 73 + 113 + 467 + 2 = 666.

It is a super-2 number, since 2×191731134672² (a number of 23 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11334573 + ... + 11351475.

Almost surely, 2^191731134672 is an apocalyptic number.

191731134672 is a gapful number since it is divisible by the number (12) 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 191731134672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356839383040).

191731134672 is an abundant number, since it is smaller than the sum of its proper divisors (521947631408).

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

191731134672 is a wasteful number, since it uses less digits than its factorization.

191731134672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16980 (or 16957 counting only the distinct ones).

The product of its digits is 190512, while the sum is 45.

The spelling of 191731134672 in words is "one hundred ninety-one billion, seven hundred thirty-one million, one hundred thirty-four thousand, six hundred seventy-two".