1352314656 has 192 divisors, whose sum is σ = 4917749760. Its totient is φ = 351233280.

The previous prime is 1352314637. The next prime is 1352314687. The reversal of 1352314656 is 6564132531.

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 1352314656.

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 31 ways as a sum of consecutive naturals, for example, 56365 + ... + 76691.

It is an arithmetic number, because the mean of its divisors is an integer number (25613280).

Almost surely, 2^1352314656 is an apocalyptic number.

1352314656 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 1352314656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2458874880).

1352314656 is an abundant number, since it is smaller than the sum of its proper divisors (3565435104).

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

1352314656 is a wasteful number, since it uses less digits than its factorization.

1352314656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20364 (or 20350 counting only the distinct ones).

The product of its digits is 64800, while the sum is 36.

The square root of 1352314656 is about 36773.8311303024. The cubic root of 1352314656 is about 1105.8407382400.

The spelling of 1352314656 in words is "one billion, three hundred fifty-two million, three hundred fourteen thousand, six hundred fifty-six".