249140883456 has 260 divisors, whose sum is σ = 749153053792. Its totient is φ = 82500747264.

The previous prime is 249140883443. The next prime is 249140883457. The reversal of 249140883456 is 654388041942.

249140883456 is a `hidden beast` number, since 2 + 49 + 140 + 8 + 8 + 3 + 456 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (249140883457) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 52086441 + ... + 52091223.

Almost surely, 2^249140883456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 249140883456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374576526896).

249140883456 is an abundant number, since it is smaller than the sum of its proper divisors (500012170336).

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

249140883456 is an equidigital number, since it uses as much as digits as its factorization.

249140883456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4976 (or 4945 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 249140883456 in words is "two hundred forty-nine billion, one hundred forty million, eight hundred eighty-three thousand, four hundred fifty-six".