1158376464 has 600 divisors, whose sum is σ = 4387319640. Its totient is φ = 292626432.

The previous prime is 1158376451. The next prime is 1158376489. The reversal of 1158376464 is 4646738511.

1158376464 is a `hidden beast` number, since 1 + 1 + 583 + 7 + 6 + 4 + 64 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 573123600 + 585252864 = 23940^2 + 24192^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 31307454 + ... + 31307490.

Almost surely, 2^1158376464 is an apocalyptic number.

1158376464 is a gapful number since it is divisible by the number (14) 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 1158376464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2193659820).

1158376464 is an abundant number, since it is smaller than the sum of its proper divisors (3228943176).

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

1158376464 is a wasteful number, since it uses less digits than its factorization.

1158376464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 95 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 1158376464 is about 34034.9300572221. The cubic root of 1158376464 is about 1050.2271508560.

The spelling of 1158376464 in words is "one billion, one hundred fifty-eight million, three hundred seventy-six thousand, four hundred sixty-four".