190751896952064 has 216 divisors, whose sum is σ = 631162114494912. Its totient is φ = 54274397552640.

The previous prime is 190751896952027. The next prime is 190751896952117. The reversal of 190751896952064 is 460259698157091.

190751896952064 is a `hidden beast` number, since 1 + 9 + 0 + 7 + 5 + 1 + 8 + 96 + 9 + 520 + 6 + 4 = 666.

190751896952064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×190751896952064² (a number of 29 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 190751896951983 and 190751896952001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20651274 + ... + 28424969.

Almost surely, 2^{190751896952064} is an apocalyptic number.

190751896952064 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

190751896952064 is an abundant number, since it is smaller than the sum of its proper divisors (440410217542848).

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

190751896952064 is a wasteful number, since it uses less digits than its factorization.

190751896952064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49076513 (or 49076496 counting only the distinct ones).

The product of its (nonzero) digits is 293932800, while the sum is 72.

The spelling of 190751896952064 in words is "one hundred ninety trillion, seven hundred fifty-one billion, eight hundred ninety-six million, nine hundred fifty-two thousand, sixty-four".