1150613856 has 576 divisors, whose sum is σ = 4424232960. Its totient is φ = 283668480.

The previous prime is 1150613843. The next prime is 1150613861. The reversal of 1150613856 is 6583160511.

1150613856 is a `hidden beast` number, since 11 + 506 + 138 + 5 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1150613856.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 37116561 + ... + 37116591.

It is an arithmetic number, because the mean of its divisors is an integer number (7680960).

Almost surely, 2^1150613856 is an apocalyptic number.

1150613856 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 1150613856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2212116480).

1150613856 is an abundant number, since it is smaller than the sum of its proper divisors (3273619104).

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

1150613856 is a wasteful number, since it uses less digits than its factorization.

1150613856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 1150613856 is about 33920.6995210889. The cubic root of 1150613856 is about 1047.8759346559.

The spelling of 1150613856 in words is "one billion, one hundred fifty million, six hundred thirteen thousand, eight hundred fifty-six".