10045007616996 has 135 divisors (see below), whose sum is σ = 28865698661107. Its totient is φ = 3043751538960.

The previous prime is 10045007616907. The next prime is 10045007617027. The reversal of 10045007616996 is 69961670054001.

It is a happy number.

The square root of 10045007616996 is 3169386.

It is a perfect power (a square), and thus also a powerful number.

10045007616996 is a `hidden beast` number, since 1 + 0 + 0 + 4 + 500 + 76 + 1 + 69 + 9 + 6 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 627530425 + ... + 627546431.

Almost surely, 2^{10045007616996} is an apocalyptic number.

10045007616996 is the 3169386-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10045007616996

10045007616996 is an abundant number, since it is smaller than the sum of its proper divisors (18820691044111).

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

10045007616996 is an frugal number, since it uses more digits than its factorization.

10045007616996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32052 (or 16023 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The spelling of 10045007616996 in words is "ten trillion, forty-five billion, seven million, six hundred sixteen thousand, nine hundred ninety-six".