249367899456 has 672 divisors, whose sum is σ = 852043772160. Its totient is φ = 71066419200.

The previous prime is 249367899421. The next prime is 249367899457. The reversal of 249367899456 is 654998763942.

249367899456 is a `hidden beast` number, since 2 + 4 + 93 + 6 + 7 + 89 + 9 + 456 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (249367899457) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 460938546 + ... + 460939086.

It is an arithmetic number, because the mean of its divisors is an integer number (1267922280).

Almost surely, 2^249367899456 is an apocalyptic number.

249367899456 is a gapful number since it is divisible by the number (26) 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 249367899456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426021886080).

249367899456 is an abundant number, since it is smaller than the sum of its proper divisors (602675872704).

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

249367899456 is a wasteful number, since it uses less digits than its factorization.

249367899456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 680 (or 647 counting only the distinct ones).

The product of its digits is 705438720, while the sum is 72.

The spelling of 249367899456 in words is "two hundred forty-nine billion, three hundred sixty-seven million, eight hundred ninety-nine thousand, four hundred fifty-six".