199357797312 has 336 divisors, whose sum is σ = 620699657760. Its totient is φ = 60961849344.

The previous prime is 199357797299. The next prime is 199357797377. The reversal of 199357797312 is 213797753991.

199357797312 is a `hidden beast` number, since 199 + 357 + 7 + 97 + 3 + 1 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 199357797312.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 94347168 + ... + 94349280.

It is an arithmetic number, because the mean of its divisors is an integer number (1847320410).

Almost surely, 2^199357797312 is an apocalyptic number.

199357797312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 199357797312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310349828880).

199357797312 is an abundant number, since it is smaller than the sum of its proper divisors (421341860448).

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

199357797312 is a wasteful number, since it uses less digits than its factorization.

199357797312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2420 (or 2407 counting only the distinct ones).

The product of its digits is 22504230, while the sum is 63.

The spelling of 199357797312 in words is "one hundred ninety-nine billion, three hundred fifty-seven million, seven hundred ninety-seven thousand, three hundred twelve".