10204151363344 has 80 divisors (see below), whose sum is σ = 20827270219392. Its totient is φ = 4833630500864.

The previous prime is 10204151363309. The next prime is 10204151363383. The reversal of 10204151363344 is 44336315140201.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 209967912 + ... + 210016504.

Almost surely, 2^{10204151363344} 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 10204151363344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10413635109696).

10204151363344 is an abundant number, since it is smaller than the sum of its proper divisors (10623118856048).

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

10204151363344 is a wasteful number, since it uses less digits than its factorization.

10204151363344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54064 (or 54058 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 37.

The spelling of 10204151363344 in words is "ten trillion, two hundred four billion, one hundred fifty-one million, three hundred sixty-three thousand, three hundred forty-four".