11253946176 has 168 divisors, whose sum is σ = 35396753184. Its totient is φ = 3390243840.

The previous prime is 11253946147. The next prime is 11253946201. The reversal of 11253946176 is 67164935211.

11253946176 is a `hidden beast` number, since 1 + 1 + 2 + 539 + 46 + 1 + 76 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1090995 + ... + 1101261.

Almost surely, 2^11253946176 is an apocalyptic number.

11253946176 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 11253946176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17698376592).

11253946176 is an abundant number, since it is smaller than the sum of its proper divisors (24142807008).

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

11253946176 is a wasteful number, since it uses less digits than its factorization.

11253946176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10469 (or 10456 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

The spelling of 11253946176 in words is "eleven billion, two hundred fifty-three million, nine hundred forty-six thousand, one hundred seventy-six".