11628754176 has 144 divisors (see below), whose sum is σ = 33734143296. Its totient is φ = 3534716928.

The previous prime is 11628754157. The next prime is 11628754201. The reversal of 11628754176 is 67145782611.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 821656 + ... + 835688.

It is an arithmetic number, because the mean of its divisors is an integer number (234264884).

Almost surely, 2^11628754176 is an apocalyptic number.

11628754176 is a gapful number since it is divisible by the number (16) 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 11628754176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16867071648).

11628754176 is an abundant number, since it is smaller than the sum of its proper divisors (22105389120).

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

11628754176 is a wasteful number, since it uses less digits than its factorization.

11628754176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14148 (or 14134 counting only the distinct ones).

The product of its digits is 564480, while the sum is 48.

The spelling of 11628754176 in words is "eleven billion, six hundred twenty-eight million, seven hundred fifty-four thousand, one hundred seventy-six".