1249656113664 has 480 divisors, whose sum is σ = 4223158093440. Its totient is φ = 348358311936.

The previous prime is 1249656113659. The next prime is 1249656113677. The reversal of 1249656113664 is 4663116569421.

1249656113664 is a `hidden beast` number, since 1 + 2 + 4 + 9 + 6 + 561 + 13 + 6 + 64 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1249656113664.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 260722852 + ... + 260727644.

It is an arithmetic number, because the mean of its divisors is an integer number (8798246028).

Almost surely, 2^{1249656113664} is an apocalyptic number.

1249656113664 is a gapful number since it is divisible by the number (14) 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 1249656113664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2111579046720).

1249656113664 is an abundant number, since it is smaller than the sum of its proper divisors (2973501979776).

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

1249656113664 is a wasteful number, since it uses less digits than its factorization.

1249656113664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5020 (or 5001 counting only the distinct ones).

The product of its digits is 5598720, while the sum is 54.

The spelling of 1249656113664 in words is "one trillion, two hundred forty-nine billion, six hundred fifty-six million, one hundred thirteen thousand, six hundred sixty-four".