191164978368 has 896 divisors, whose sum is σ = 716889600000. Its totient is φ = 48611819520.

The previous prime is 191164978349. The next prime is 191164978391. The reversal of 191164978368 is 863879461191.

191164978368 is a `hidden beast` number, since 1 + 9 + 1 + 1 + 6 + 497 + 83 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 960627933 + ... + 960628131.

It is an arithmetic number, because the mean of its divisors is an integer number (800100000).

Almost surely, 2^191164978368 is an apocalyptic number.

191164978368 is a gapful number since it is divisible by the number (18) 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 191164978368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358444800000).

191164978368 is an abundant number, since it is smaller than the sum of its proper divisors (525724621632).

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

191164978368 is a wasteful number, since it uses less digits than its factorization.

191164978368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430 (or 414 counting only the distinct ones).

The product of its digits is 15676416, while the sum is 63.

The spelling of 191164978368 in words is "one hundred ninety-one billion, one hundred sixty-four million, nine hundred seventy-eight thousand, three hundred sixty-eight".