1249682523664 has 135 divisors (see below), whose sum is σ = 2627669628493. Its totient is φ = 575687550592.

The previous prime is 1249682523647. The next prime is 1249682523697. The reversal of 1249682523664 is 4663252869421.

The square root of 1249682523664 is 1117892.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 655303202064 + 594379321600 = 809508^2 + 770960^2 .

It is a Harshad number since it is a multiple of its sum of digits (58).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1249682523599 and 1249682523608.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2982535647 + ... + 2982536065.

Almost surely, 2^{1249682523664} is an apocalyptic number.

1249682523664 is the 1117892-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1249682523664

1249682523664 is an abundant number, since it is smaller than the sum of its proper divisors (1377987104829).

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

1249682523664 is an frugal number, since it uses more digits than its factorization.

1249682523664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 950 (or 473 counting only the distinct ones).

The product of its digits is 29859840, while the sum is 58.

The spelling of 1249682523664 in words is "one trillion, two hundred forty-nine billion, six hundred eighty-two million, five hundred twenty-three thousand, six hundred sixty-four".