1136252945664 has 288 divisors, whose sum is σ = 3493580926080. Its totient is φ = 368507750400.

The previous prime is 1136252945617. The next prime is 1136252945689. The reversal of 1136252945664 is 4665492526311.

1136252945664 is a `hidden beast` number, since 1 + 1 + 3 + 6 + 2 + 529 + 4 + 56 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 1136252945664.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20687839 + ... + 20742689.

Almost surely, 2^{1136252945664} 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 1136252945664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1746790463040).

1136252945664 is an abundant number, since it is smaller than the sum of its proper divisors (2357327980416).

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

1136252945664 is an frugal number, since it uses more digits than its factorization.

1136252945664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54925 (or 54893 counting only the distinct ones).

The product of its digits is 9331200, while the sum is 54.

The spelling of 1136252945664 in words is "one trillion, one hundred thirty-six billion, two hundred fifty-two million, nine hundred forty-five thousand, six hundred sixty-four".