1167713456 has 160 divisors (see below), whose sum is σ = 2949144576. Its totient is φ = 435456000.

The previous prime is 1167713441. The next prime is 1167713467. The reversal of 1167713456 is 6543177611.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1850261 + ... + 1850891.

Almost surely, 2^1167713456 is an apocalyptic number.

1167713456 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 1167713456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1474572288).

1167713456 is an abundant number, since it is smaller than the sum of its proper divisors (1781431120).

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

1167713456 is a wasteful number, since it uses less digits than its factorization.

1167713456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 731 (or 725 counting only the distinct ones).

The product of its digits is 105840, while the sum is 41.

The square root of 1167713456 is about 34171.8225443127. The cubic root of 1167713456 is about 1053.0413577681.

The spelling of 1167713456 in words is "one billion, one hundred sixty-seven million, seven hundred thirteen thousand, four hundred fifty-six".