11628545410944 has 1280 divisors, whose sum is σ = 44087124787200. Its totient is φ = 2955004416000.

The previous prime is 11628545410873. The next prime is 11628545410957. The reversal of 11628545410944 is 44901454582611.

It is a happy number.

11628545410944 is a `hidden beast` number, since 1 + 1 + 6 + 2 + 8 + 5 + 4 + 541 + 0 + 94 + 4 = 666.

It is a super-2 number, since 2×11628545410944² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 12764593849 + ... + 12764594759.

It is an arithmetic number, because the mean of its divisors is an integer number (34443066240).

Almost surely, 2^{11628545410944} is an apocalyptic number.

11628545410944 is a gapful number since it is divisible by the number (14) 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 11628545410944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22043562393600).

11628545410944 is an abundant number, since it is smaller than the sum of its proper divisors (32458579376256).

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

11628545410944 is a wasteful number, since it uses less digits than its factorization.

11628545410944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1285 (or 1264 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 11628545410944 in words is "eleven trillion, six hundred twenty-eight billion, five hundred forty-five million, four hundred ten thousand, nine hundred forty-four".