199232122941504 has 1120 divisors, whose sum is σ = 652207101106176. Its totient is φ = 59941001134080.

The previous prime is 199232122941457. The next prime is 199232122941521. The reversal of 199232122941504 is 405149221232991.

199232122941504 is a `hidden beast` number, since 1 + 9 + 9 + 2 + 3 + 2 + 122 + 9 + 4 + 1 + 504 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 31291362129 + ... + 31291368495.

Almost surely, 2^{199232122941504} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 199232122941504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326103550553088).

199232122941504 is an abundant number, since it is smaller than the sum of its proper divisors (452974978164672).

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

199232122941504 is a wasteful number, since it uses less digits than its factorization.

199232122941504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6665 (or 6646 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 199232122941504 in words is "one hundred ninety-nine trillion, two hundred thirty-two billion, one hundred twenty-two million, nine hundred forty-one thousand, five hundred four".