191016738432 has 1024 divisors, whose sum is σ = 671182848000. Its totient is φ = 52991262720.

The previous prime is 191016738413. The next prime is 191016738439. The reversal of 191016738432 is 234837610191.

191016738432 is a `hidden beast` number, since 19 + 10 + 167 + 38 + 432 = 666.

It is a super-2 number, since 2×191016738432² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (191016738439) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2146255444 + ... + 2146255532.

It is an arithmetic number, because the mean of its divisors is an integer number (655452000).

Almost surely, 2^191016738432 is an apocalyptic number.

191016738432 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 191016738432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335591424000).

191016738432 is an abundant number, since it is smaller than the sum of its proper divisors (480166109568).

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

191016738432 is a wasteful number, since it uses less digits than its factorization.

191016738432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 191016738432 in words is "one hundred ninety-one billion, sixteen million, seven hundred thirty-eight thousand, four hundred thirty-two".