1249084956672 has 336 divisors, whose sum is σ = 4207953890400. Its totient is φ = 356874190848.

The previous prime is 1249084956667. The next prime is 1249084956683. The reversal of 1249084956672 is 2766594809421.

1249084956672 is a `hidden beast` number, since 1 + 2 + 490 + 84 + 9 + 5 + 6 + 67 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25264008 + ... + 25313400.

Almost surely, 2^{1249084956672} is an apocalyptic number.

1249084956672 is a gapful number since it is divisible by the number (12) 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 1249084956672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2103976945200).

1249084956672 is an abundant number, since it is smaller than the sum of its proper divisors (2958868933728).

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

1249084956672 is an frugal number, since it uses more digits than its factorization.

1249084956672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49446 (or 49405 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 1249084956672 in words is "one trillion, two hundred forty-nine billion, eighty-four million, nine hundred fifty-six thousand, six hundred seventy-two".