10169397323904 has 768 divisors, whose sum is σ = 34479736300800. Its totient is φ = 2631687045120.

The previous prime is 10169397323903. The next prime is 10169397323923. The reversal of 10169397323904 is 40932379396101.

It is not an unprimeable number, because it can be changed into a prime (10169397323903) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3977080194 + ... + 3977082750.

It is an arithmetic number, because the mean of its divisors is an integer number (44895489975).

Almost surely, 2^{10169397323904} is an apocalyptic number.

10169397323904 is a gapful number since it is divisible by the number (14) 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 10169397323904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17239868150400).

10169397323904 is an abundant number, since it is smaller than the sum of its proper divisors (24310338976896).

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

10169397323904 is a wasteful number, since it uses less digits than its factorization.

10169397323904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2901 (or 2882 counting only the distinct ones).

The product of its (nonzero) digits is 6613488, while the sum is 57.

The spelling of 10169397323904 in words is "ten trillion, one hundred sixty-nine billion, three hundred ninety-seven million, three hundred twenty-three thousand, nine hundred four".