11645561928 has 512 divisors, whose sum is σ = 42526310400. Its totient is φ = 2556748800.

The previous prime is 11645561927. The next prime is 11645561957. The reversal of 11645561928 is 82916554611.

It is a super-2 number, since 2×11645561928² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11645561923) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 14149725 + ... + 14150547.

It is an arithmetic number, because the mean of its divisors is an integer number (83059200).

Almost surely, 2^11645561928 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 11645561928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21263155200).

11645561928 is an abundant number, since it is smaller than the sum of its proper divisors (30880748472).

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

11645561928 is a wasteful number, since it uses less digits than its factorization.

11645561928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 913 (or 909 counting only the distinct ones).

The product of its digits is 518400, while the sum is 48.

The spelling of 11645561928 in words is "eleven billion, six hundred forty-five million, five hundred sixty-one thousand, nine hundred twenty-eight".