925567140096 has 567 divisors, whose sum is σ = 2965171239373. Its totient is φ = 288157409280.

The previous prime is 925567140061. The next prime is 925567140097. The reversal of 925567140096 is 690041765529.

The square root of 925567140096 is 962064.

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

925567140096 is a `hidden beast` number, since 92 + 5 + 5 + 67 + 1 + 400 + 96 = 666.

It can be written as a sum of positive squares in only one way, i.e., 720597254400 + 204969885696 = 848880^2 + 452736^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (925567140097) by changing a digit.

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 62 ways as a sum of consecutive naturals, for example, 7065397951 + ... + 7065398081.

Almost surely, 2^925567140096 is an apocalyptic number.

925567140096 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

925567140096 is the 962064-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 925567140096

925567140096 is an abundant number, since it is smaller than the sum of its proper divisors (2039604099277).

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

925567140096 is an frugal number, since it uses more digits than its factorization.

925567140096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 54.

The spelling of 925567140096 in words is "nine hundred twenty-five billion, five hundred sixty-seven million, one hundred forty thousand, ninety-six".