11644729657920 has 336 divisors, whose sum is σ = 40482108121728. Its totient is φ = 3072020152320.

The previous prime is 11644729657907. The next prime is 11644729657943. The reversal of 11644729657920 is 2975692744611.

11644729657920 is a `hidden beast` number, since 1 + 1 + 6 + 4 + 472 + 96 + 5 + 79 + 2 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 856790325 + ... + 856803915.

It is an arithmetic number, because the mean of its divisors is an integer number (120482464648).

Almost surely, 2^{11644729657920} is an apocalyptic number.

11644729657920 is a gapful number since it is divisible by the number (10) 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 11644729657920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20241054060864).

11644729657920 is an abundant number, since it is smaller than the sum of its proper divisors (28837378463808).

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

11644729657920 is a wasteful number, since it uses less digits than its factorization.

11644729657920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16778 (or 16765 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 11644729657920 in words is "eleven trillion, six hundred forty-four billion, seven hundred twenty-nine million, six hundred fifty-seven thousand, nine hundred twenty".