10162817312 has 54 divisors (see below), whose sum is σ = 20374993107. Its totient is φ = 4989880000.

The previous prime is 10162817297. The next prime is 10162817323. The reversal of 10162817312 is 21371826101.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 5081408656 + 5081408656 = 71284^2 + 71284^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=71284.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 40489187 + ... + 40489437.

Almost surely, 2^10162817312 is an apocalyptic number.

It is an amenable number.

10162817312 is an abundant number, since it is smaller than the sum of its proper divisors (10212175795).

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

10162817312 is an frugal number, since it uses more digits than its factorization.

10162817312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 654 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 32.

Multiplying 10162817312 by its sum of digits (32), we get a square (325210153984 = 570272²).

10162817312 divided by its sum of digits (32) gives a square (317588041 = 17821²).

The spelling of 10162817312 in words is "ten billion, one hundred sixty-two million, eight hundred seventeen thousand, three hundred twelve".