100314861316992 has 192 divisors, whose sum is σ = 331747575868800. Its totient is φ = 28501269046272.

The previous prime is 100314861316991. The next prime is 100314861317003. The reversal of 100314861316992 is 299613168413001.

100314861316992 is a `hidden beast` number, since 1 + 0 + 0 + 3 + 1 + 4 + 8 + 613 + 16 + 9 + 9 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100314861316991) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33304698 + ... + 36191609.

It is an arithmetic number, because the mean of its divisors is an integer number (1727851957650).

Almost surely, 2^{100314861316992} is an apocalyptic number.

100314861316992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100314861316992 is an abundant number, since it is smaller than the sum of its proper divisors (231432714551808).

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

100314861316992 is a wasteful number, since it uses less digits than its factorization.

100314861316992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69496513 (or 69496498 counting only the distinct ones).

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

The spelling of 100314861316992 in words is "one hundred trillion, three hundred fourteen billion, eight hundred sixty-one million, three hundred sixteen thousand, nine hundred ninety-two".