249132230160 has 320 divisors, whose sum is σ = 888800256000. Its totient is φ = 57092014080.

The previous prime is 249132230159. The next prime is 249132230177. The reversal of 249132230160 is 61032231942.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24021456 + ... + 24031824.

It is an arithmetic number, because the mean of its divisors is an integer number (2777500800).

Almost surely, 2^249132230160 is an apocalyptic number.

249132230160 is a gapful number since it is divisible by the number (20) 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 249132230160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444400128000).

249132230160 is an abundant number, since it is smaller than the sum of its proper divisors (639668025840).

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

249132230160 is a wasteful number, since it uses less digits than its factorization.

249132230160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10894 (or 10888 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The spelling of 249132230160 in words is "two hundred forty-nine billion, one hundred thirty-two million, two hundred thirty thousand, one hundred sixty".