896415091264 has 567 divisors, whose sum is σ = 2400875946651. Its totient is φ = 330846996480.

The previous prime is 896415091261. The next prime is 896415091283. The reversal of 896415091264 is 462190514698.

The square root of 896415091264 is 946792.

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

It can be written as a sum of positive squares in 4 ways, for example, as 56244865600 + 840170225664 = 237160^2 + 916608^2 .

It is not an unprimeable number, because it can be changed into a prime (896415091261) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 16913492262 + ... + 16913492314.

Almost surely, 2^896415091264 is an apocalyptic number.

896415091264 is the 946792-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 896415091264

896415091264 is an abundant number, since it is smaller than the sum of its proper divisors (1504460855387).

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

896415091264 is a wasteful number, since it uses less digits than its factorization.

896415091264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 55.

The spelling of 896415091264 in words is "eight hundred ninety-six billion, four hundred fifteen million, ninety-one thousand, two hundred sixty-four".