11453079456 has 768 divisors, whose sum is σ = 43930091520. Its totient is φ = 2821754880.

The previous prime is 11453079377. The next prime is 11453079551. The reversal of 11453079456 is 65497035411.

11453079456 is a `hidden beast` number, since 1 + 1 + 4 + 530 + 79 + 45 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 90181665 + ... + 90181791.

It is an arithmetic number, because the mean of its divisors is an integer number (57200640).

Almost surely, 2^11453079456 is an apocalyptic number.

11453079456 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 11453079456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21965045760).

11453079456 is an abundant number, since it is smaller than the sum of its proper divisors (32477012064).

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

11453079456 is a wasteful number, since it uses less digits than its factorization.

11453079456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 11453079456 in words is "eleven billion, four hundred fifty-three million, seventy-nine thousand, four hundred fifty-six".