2136649798656 has 440 divisors, whose sum is σ = 6693969047040. Its totient is φ = 677917900800.

The previous prime is 2136649798651. The next prime is 2136649798669. The reversal of 2136649798656 is 6568979466312.

2136649798656 is a `hidden beast` number, since 2 + 1 + 3 + 6 + 6 + 497 + 9 + 86 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2136649798651) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 170775441 + ... + 170787951.

It is an arithmetic number, because the mean of its divisors is an integer number (15213566016).

Almost surely, 2^{2136649798656} 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 2136649798656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3346984523520).

2136649798656 is an abundant number, since it is smaller than the sum of its proper divisors (4557319248384).

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

2136649798656 is a wasteful number, since it uses less digits than its factorization.

2136649798656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12643 (or 12616 counting only the distinct ones).

The product of its digits is 705438720, while the sum is 72.

The spelling of 2136649798656 in words is "two trillion, one hundred thirty-six billion, six hundred forty-nine million, seven hundred ninety-eight thousand, six hundred fifty-six".