11357456112 has 240 divisors, whose sum is σ = 34726348800. Its totient is φ = 3451921920.

The previous prime is 11357456083. The next prime is 11357456119. The reversal of 11357456112 is 21165475311.

11357456112 is a `hidden beast` number, since 1 + 1 + 35 + 7 + 4 + 5 + 611 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11357456119) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30448758 + ... + 30449130.

It is an arithmetic number, because the mean of its divisors is an integer number (144693120).

Almost surely, 2^11357456112 is an apocalyptic number.

11357456112 is a gapful number since it is divisible by the number (12) 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 11357456112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17363174400).

11357456112 is an abundant number, since it is smaller than the sum of its proper divisors (23368892688).

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

11357456112 is a wasteful number, since it uses less digits than its factorization.

11357456112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 796 (or 787 counting only the distinct ones).

The product of its digits is 25200, while the sum is 36.

The spelling of 11357456112 in words is "eleven billion, three hundred fifty-seven million, four hundred fifty-six thousand, one hundred twelve".