3566112915456 has 1680 divisors, whose sum is σ = 14007128111424. Its totient is φ = 880602513408.

The previous prime is 3566112915419. The next prime is 3566112915499. The reversal of 3566112915456 is 6545192116653.

3566112915456 is a `hidden beast` number, since 3 + 5 + 6 + 6 + 1 + 1 + 2 + 91 + 545 + 6 = 666.

It is a super-2 number, since 2×3566112915456² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 18477268896 + ... + 18477269088.

Almost surely, 2^{3566112915456} is an apocalyptic number.

3566112915456 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 3566112915456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7003564055712).

3566112915456 is an abundant number, since it is smaller than the sum of its proper divisors (10441015195968).

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

3566112915456 is an equidigital number, since it uses as much as digits as its factorization.

3566112915456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 235 counting only the distinct ones).

The product of its digits is 5832000, while the sum is 54.

The spelling of 3566112915456 in words is "three trillion, five hundred sixty-six billion, one hundred twelve million, nine hundred fifteen thousand, four hundred fifty-six".