199831924260864 has 675 divisors, whose sum is σ = 694877986347237. Its totient is φ = 57062265716736.

The previous prime is 199831924260851. The next prime is 199831924260887. The reversal of 199831924260864 is 468062429138991.

The square root of 199831924260864 is 14136192.

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

199831924260864 is a `hidden beast` number, since 1 + 9 + 9 + 8 + 3 + 1 + 9 + 2 + 4 + 2 + 608 + 6 + 4 = 666.

199831924260864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 5659070054400 + 194172854206464 = 2378880^2 + 13934592^2 .

It is a super-2 number, since 2×199831924260864² (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 = 199831924260792 and 199831924260801.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 113994251412 + ... + 113994253164.

Almost surely, 2^{199831924260864} is an apocalyptic number.

199831924260864 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

199831924260864 is the 14136192-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 199831924260864

199831924260864 is an abundant number, since it is smaller than the sum of its proper divisors (495046062086373).

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

199831924260864 is an frugal number, since it uses more digits than its factorization.

199831924260864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3560 (or 1765 counting only the distinct ones).

The product of its (nonzero) digits is 322486272, while the sum is 72.

The spelling of 199831924260864 in words is "one hundred ninety-nine trillion, eight hundred thirty-one billion, nine hundred twenty-four million, two hundred sixty thousand, eight hundred sixty-four".