191485373054976 has 3591 divisors, whose sum is σ = 794999467175193. Its totient is φ = 45910578954240.

The previous prime is 191485373054959. The next prime is 191485373055157. The reversal of 191485373054976 is 679450373584191.

The square root of 191485373054976 is 13837824.

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

191485373054976 is a `hidden beast` number, since 1 + 9 + 1 + 4 + 8 + 5 + 3 + 7 + 3 + 0 + 549 + 76 = 666.

It can be written as a sum of positive squares in only one way, i.e., 28326238617600 + 163159134437376 = 5322240^2 + 12773376^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 14729644081146 + ... + 14729644081158.

Almost surely, 2^{191485373054976} is an apocalyptic number.

191485373054976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

191485373054976 is the 13837824-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 191485373054976

191485373054976 is an abundant number, since it is smaller than the sum of its proper divisors (603514094120217).

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

191485373054976 is an frugal number, since it uses more digits than its factorization.

191485373054976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 685843200, while the sum is 72.

The spelling of 191485373054976 in words is "one hundred ninety-one trillion, four hundred eighty-five billion, three hundred seventy-three million, fifty-four thousand, nine hundred seventy-six".