356556816 has 280 divisors, whose sum is σ = 1294601664. Its totient is φ = 92378880.

The previous prime is 356556799. The next prime is 356556853. The reversal of 356556816 is 618655653.

356556816 is a `hidden beast` number, since 3 + 565 + 5 + 6 + 81 + 6 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 897930 + ... + 898326.

Almost surely, 2^356556816 is an apocalyptic number.

356556816 is a gapful number since it is divisible by the number (36) 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 356556816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (647300832).

356556816 is an abundant number, since it is smaller than the sum of its proper divisors (938044848).

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

356556816 is a wasteful number, since it uses less digits than its factorization.

356556816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441 (or 420 counting only the distinct ones).

The product of its digits is 648000, while the sum is 45.

The square root of 356556816 is about 18882.7120933408. The cubic root of 356556816 is about 709.1034216189.

The spelling of 356556816 in words is "three hundred fifty-six million, five hundred fifty-six thousand, eight hundred sixteen".