199237324881672 has 432 divisors, whose sum is σ = 690648070694400. Its totient is φ = 51697624809600.

The previous prime is 199237324881667. The next prime is 199237324881757. The reversal of 199237324881672 is 276188423732991.

199237324881672 is a `hidden beast` number, since 1 + 9 + 9 + 2 + 3 + 73 + 2 + 488 + 1 + 6 + 72 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 199237324881672.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 422810529 + ... + 423281487.

Almost surely, 2^{199237324881672} is an apocalyptic number.

199237324881672 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 199237324881672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345324035347200).

199237324881672 is an abundant number, since it is smaller than the sum of its proper divisors (491410745812728).

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

199237324881672 is a wasteful number, since it uses less digits than its factorization.

199237324881672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471998 (or 471973 counting only the distinct ones).

The product of its digits is 438939648, while the sum is 72.

The spelling of 199237324881672 in words is "one hundred ninety-nine trillion, two hundred thirty-seven billion, three hundred twenty-four million, eight hundred eighty-one thousand, six hundred seventy-two".