8900007290944 has 567 divisors, whose sum is σ = 23528248842189. Its totient is φ = 3327917429760.

The previous prime is 8900007290927. The next prime is 8900007290953. The reversal of 8900007290944 is 4490927000098.

It is a happy number.

The square root of 8900007290944 is 2983288.

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

It can be written as a sum of positive squares in only one way, i.e., 4666947937344 + 4233059353600 = 2160312^2 + 2057440^2 .

It is a super-2 number, since 2×8900007290944² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 8900007290891 and 8900007290900.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 53293456749 + ... + 53293456915.

Almost surely, 2^{8900007290944} is an apocalyptic number.

8900007290944 is the 2983288-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8900007290944

8900007290944 is an abundant number, since it is smaller than the sum of its proper divisors (14628241551245).

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

8900007290944 is a wasteful number, since it uses less digits than its factorization.

8900007290944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 52.

The spelling of 8900007290944 in words is "eight trillion, nine hundred billion, seven million, two hundred ninety thousand, nine hundred forty-four".