249068613963456 has 896 divisors, whose sum is σ = 879345873715200. Its totient is φ = 67630850519040.

The previous prime is 249068613963329. The next prime is 249068613963569. The reversal of 249068613963456 is 654369316860942.

249068613963456 is a `hidden beast` number, since 2 + 4 + 9 + 0 + 6 + 86 + 1 + 3 + 96 + 3 + 456 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 24048330630 + ... + 24048340986.

Almost surely, 2^{249068613963456} 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 249068613963456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439672936857600).

249068613963456 is an abundant number, since it is smaller than the sum of its proper divisors (630277259751744).

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

249068613963456 is a wasteful number, since it uses less digits than its factorization.

249068613963456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11562 (or 11546 counting only the distinct ones).

The product of its (nonzero) digits is 1209323520, while the sum is 72.

The spelling of 249068613963456 in words is "two hundred forty-nine trillion, sixty-eight billion, six hundred thirteen million, nine hundred sixty-three thousand, four hundred fifty-six".