10109814431808 has 448 divisors, whose sum is σ = 34317136465920. Its totient is φ = 2554713907200.

The previous prime is 10109814431737. The next prime is 10109814431839. The reversal of 10109814431808 is 80813441890101.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 66299973 + ... + 66452283.

It is an arithmetic number, because the mean of its divisors is an integer number (76600751040).

Almost surely, 2^{10109814431808} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10109814431808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17158568232960).

10109814431808 is an abundant number, since it is smaller than the sum of its proper divisors (24207322034112).

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

10109814431808 is a wasteful number, since it uses less digits than its factorization.

10109814431808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152506 (or 152496 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 48.

The spelling of 10109814431808 in words is "ten trillion, one hundred nine billion, eight hundred fourteen million, four hundred thirty-one thousand, eight hundred eight".