1566261456 has 80 divisors (see below), whose sum is σ = 4087863360. Its totient is φ = 516741120.

The previous prime is 1566261451. The next prime is 1566261457. The reversal of 1566261456 is 6541626651.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1566261451) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3617016 + ... + 3617448.

It is an arithmetic number, because the mean of its divisors is an integer number (51098292).

Almost surely, 2^1566261456 is an apocalyptic number.

1566261456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1566261456 is an abundant number, since it is smaller than the sum of its proper divisors (2521601904).

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

1566261456 is a wasteful number, since it uses less digits than its factorization.

1566261456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1044 (or 1038 counting only the distinct ones).

The product of its digits is 259200, while the sum is 42.

The square root of 1566261456 is about 39576.0212249791. The cubic root of 1566261456 is about 1161.3276159179.

The spelling of 1566261456 in words is "one billion, five hundred sixty-six million, two hundred sixty-one thousand, four hundred fifty-six".