319868136900 has 864 divisors, whose sum is σ = 1203625463040. Its totient is φ = 70290063360.

The previous prime is 319868136781. The next prime is 319868136911. The reversal of 319868136900 is 9631868913.

It is a super-2 number, since 2×319868136900² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 373241272 + ... + 373242128.

Almost surely, 2^319868136900 is an apocalyptic number.

319868136900 is a gapful number since it is divisible by the number (30) 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 319868136900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (601812731520).

319868136900 is an abundant number, since it is smaller than the sum of its proper divisors (883757326140).

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

319868136900 is a wasteful number, since it uses less digits than its factorization.

319868136900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1005 (or 995 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The spelling of 319868136900 in words is "three hundred nineteen billion, eight hundred sixty-eight million, one hundred thirty-six thousand, nine hundred".