925166964736 has 351 divisors, whose sum is σ = 2291678889201. Its totient is φ = 372307525632.

The previous prime is 925166964731. The next prime is 925166964739. The reversal of 925166964736 is 637469661529.

The square root of 925166964736 is 961856.

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., 16302182400 + 908864782336 = 127680^2 + 953344^2 .

It is a Harshad number since it is a multiple of its sum of digits (64).

It is not an unprimeable number, because it can be changed into a prime (925166964731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 8187318216 + ... + 8187318328.

Almost surely, 2^925166964736 is an apocalyptic number.

925166964736 is the 961856-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 925166964736

925166964736 is an abundant number, since it is smaller than the sum of its proper divisors (1366511924465).

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

925166964736 is an equidigital number, since it uses as much as digits as its factorization.

925166964736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 141 counting only the distinct ones).

The product of its digits is 88179840, while the sum is 64.

Multiplying 925166964736 by its sum of digits (64), we get a square (59210685743104 = 7694848²).

925166964736 divided by its sum of digits (64) gives a square (14455733824 = 120232²).

The spelling of 925166964736 in words is "nine hundred twenty-five billion, one hundred sixty-six million, nine hundred sixty-four thousand, seven hundred thirty-six".