10249145815104 has 560 divisors, whose sum is σ = 35439557345280. Its totient is φ = 2868392217600.

The previous prime is 10249145815079. The next prime is 10249145815123. The reversal of 10249145815104 is 40151854194201.

10249145815104 is a `hidden beast` number, since 1 + 0 + 2 + 4 + 9 + 14 + 581 + 51 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 10249145815104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 364063429 + ... + 364091579.

Almost surely, 2^{10249145815104} is an apocalyptic number.

10249145815104 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 10249145815104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17719778672640).

10249145815104 is an abundant number, since it is smaller than the sum of its proper divisors (25190411530176).

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

10249145815104 is a wasteful number, since it uses less digits than its factorization.

10249145815104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28388 (or 28369 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 45.

The spelling of 10249145815104 in words is "ten trillion, two hundred forty-nine billion, one hundred forty-five million, eight hundred fifteen thousand, one hundred four".