10094929164432 has 480 divisors, whose sum is σ = 33639383957504. Its totient is φ = 2768200323840.

The previous prime is 10094929164409. The next prime is 10094929164449. The reversal of 10094929164432 is 23446192949001.

10094929164432 is a `hidden beast` number, since 1 + 0 + 0 + 9 + 49 + 2 + 9 + 164 + 432 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3813723333 + ... + 3813725979.

Almost surely, 2^{10094929164432} is an apocalyptic number.

10094929164432 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 10094929164432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16819691978752).

10094929164432 is an abundant number, since it is smaller than the sum of its proper divisors (23544454793072).

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

10094929164432 is a wasteful number, since it uses less digits than its factorization.

10094929164432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2888 (or 2817 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 10094929164432 in words is "ten trillion, ninety-four billion, nine hundred twenty-nine million, one hundred sixty-four thousand, four hundred thirty-two".