1249918414752 has 96 divisors (see below), whose sum is σ = 3750923030400. Its totient is φ = 357008329728.

The previous prime is 1249918414751. The next prime is 1249918414793. The reversal of 1249918414752 is 2574148199421.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 1249918414692 and 1249918414701.

It is not an unprimeable number, because it can be changed into a prime (1249918414751) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1881874 + ... + 2457902.

It is an arithmetic number, because the mean of its divisors is an integer number (39072114900).

Almost surely, 2^{1249918414752} is an apocalyptic number.

1249918414752 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1249918414752 is an abundant number, since it is smaller than the sum of its proper divisors (2501004615648).

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

1249918414752 is a wasteful number, since it uses less digits than its factorization.

1249918414752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 579278 (or 579270 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 57.

The spelling of 1249918414752 in words is "one trillion, two hundred forty-nine billion, nine hundred eighteen million, four hundred fourteen thousand, seven hundred fifty-two".