199140151891968 has 240 divisors, whose sum is σ = 679790496425040. Its totient is φ = 56897185923072.

The previous prime is 199140151891873. The next prime is 199140151891979. The reversal of 199140151891968 is 869198151041991.

199140151891968 is a `hidden beast` number, since 1 + 9 + 9 + 1 + 40 + 1 + 518 + 9 + 1 + 9 + 68 = 666.

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 = 199140151891896 and 199140151891905.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 84585171 + ... + 86907602.

It is an arithmetic number, because the mean of its divisors is an integer number (2832460401771).

Almost surely, 2^{199140151891968} is an apocalyptic number.

199140151891968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

199140151891968 is an abundant number, since it is smaller than the sum of its proper divisors (480650344533072).

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

199140151891968 is an equidigital number, since it uses as much as digits as its factorization.

199140151891968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171492814 (or 171492785 counting only the distinct ones).

The product of its (nonzero) digits is 50388480, while the sum is 72.

The spelling of 199140151891968 in words is "one hundred ninety-nine trillion, one hundred forty billion, one hundred fifty-one million, eight hundred ninety-one thousand, nine hundred sixty-eight".