10036249812864 has 256 divisors, whose sum is σ = 32350636281600. Its totient is φ = 3037809899520.

The previous prime is 10036249812761. The next prime is 10036249812871. The reversal of 10036249812864 is 46821894263001.

10036249812864 is a `hidden beast` number, since 1 + 0 + 0 + 3 + 62 + 498 + 12 + 86 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 10036249812864.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33189519 + ... + 33490545.

It is an arithmetic number, because the mean of its divisors is an integer number (126369672975).

Almost surely, 2^{10036249812864} 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 10036249812864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16175318140800).

10036249812864 is an abundant number, since it is smaller than the sum of its proper divisors (22314386468736).

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

10036249812864 is a wasteful number, since it uses less digits than its factorization.

10036249812864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301938 (or 301920 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 10036249812864 in words is "ten trillion, thirty-six billion, two hundred forty-nine million, eight hundred twelve thousand, eight hundred sixty-four".