893660152896 has 567 divisors, whose sum is σ = 3174902069157. Its totient is φ = 239585955840.

The previous prime is 893660152849. The next prime is 893660152921. The reversal of 893660152896 is 698251066398.

The square root of 893660152896 is 945336.

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., 695756174400 + 197903978496 = 834120^2 + 444864^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

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 80 ways as a sum of consecutive naturals, for example, 2699879451 + ... + 2699879781.

Almost surely, 2^893660152896 is an apocalyptic number.

893660152896 is the 945336-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 893660152896

893660152896 is an abundant number, since it is smaller than the sum of its proper divisors (2281241916261).

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

893660152896 is a wasteful number, since it uses less digits than its factorization.

893660152896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 728 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 33592320, while the sum is 63.

The spelling of 893660152896 in words is "eight hundred ninety-three billion, six hundred sixty million, one hundred fifty-two thousand, eight hundred ninety-six".