1151172864 has 144 divisors (see below), whose sum is σ = 3522220800. Its totient is φ = 370427904.

The previous prime is 1151172859. The next prime is 1151172877. The reversal of 1151172864 is 4682711511.

1151172864 is a `hidden beast` number, since 11 + 511 + 72 + 8 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

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, 197577 + ... + 203319.

Almost surely, 2^1151172864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1151172864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1761110400).

1151172864 is an abundant number, since it is smaller than the sum of its proper divisors (2371047936).

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

1151172864 is an equidigital number, since it uses as much as digits as its factorization.

1151172864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5797 (or 5777 counting only the distinct ones).

The product of its digits is 13440, while the sum is 36.

The square root of 1151172864 is about 33928.9384449322. The cubic root of 1151172864 is about 1048.0456053032.

The spelling of 1151172864 in words is "one billion, one hundred fifty-one million, one hundred seventy-two thousand, eight hundred sixty-four".