249732232992 has 162 divisors, whose sum is σ = 780898425489. Its totient is φ = 75648165120.

The previous prime is 249732232969. The next prime is 249732233017. The reversal of 249732232992 is 299232237942.

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.

249732232992 is a `hidden beast` number, since 2 + 497 + 32 + 2 + 32 + 9 + 92 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 158598283536 + 91133949456 = 398244^2 + 301884^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=353364.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 93286758 + ... + 93289434.

Almost surely, 2^249732232992 is an apocalyptic number.

249732232992 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 249732232992

249732232992 is an abundant number, since it is smaller than the sum of its proper divisors (531166192497).

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

249732232992 is an equidigital number, since it uses as much as digits as its factorization.

249732232992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5392 (or 2693 counting only the distinct ones).

The product of its digits is 5878656, while the sum is 54.

The spelling of 249732232992 in words is "two hundred forty-nine billion, seven hundred thirty-two million, two hundred thirty-two thousand, nine hundred ninety-two".