928124145664 has 39 divisors (see below), whose sum is σ = 1856145005833. Its totient is φ = 464031244288.

The previous prime is 928124145593. The next prime is 928124145667. The reversal of 928124145664 is 466541421829.

The square root of 928124145664 is 963392.

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., 886911897600 + 41212248064 = 941760^2 + 203008^2 .

It is a super-2 number, since 2×928124145664² (a number of 25 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (52) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (928124145667) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 61649562 + ... + 61664614.

Almost surely, 2^928124145664 is an apocalyptic number.

928124145664 is the 963392-nd square number.

It is an amenable number.

928124145664 is a deficient number, since it is larger than the sum of its proper divisors (928020860169).

928124145664 is an frugal number, since it uses more digits than its factorization.

928124145664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30130 (or 15055 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 52.

The spelling of 928124145664 in words is "nine hundred twenty-eight billion, one hundred twenty-four million, one hundred forty-five thousand, six hundred sixty-four".