2113536716928 has 640 divisors, whose sum is σ = 8078018699520. Its totient is φ = 533175312384.

The previous prime is 2113536716917. The next prime is 2113536716959. The reversal of 2113536716928 is 8296176353112.

It is a happy number.

2113536716928 is a `hidden beast` number, since 2 + 1 + 1 + 3 + 536 + 7 + 16 + 92 + 8 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 21651526 + ... + 21748922.

It is an arithmetic number, because the mean of its divisors is an integer number (12621904218).

Almost surely, 2^{2113536716928} is an apocalyptic number.

2113536716928 is a gapful number since it is divisible by the number (28) 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 2113536716928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4039009349760).

2113536716928 is an abundant number, since it is smaller than the sum of its proper divisors (5964481982592).

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

2113536716928 is a wasteful number, since it uses less digits than its factorization.

2113536716928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97466 (or 97445 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 54.

The spelling of 2113536716928 in words is "two trillion, one hundred thirteen billion, five hundred thirty-six million, seven hundred sixteen thousand, nine hundred twenty-eight".