168415027456 has 81 divisors (see below), whose sum is σ = 364205361639. Its totient is φ = 77690615808.

The previous prime is 168415027441. The next prime is 168415027481. The reversal of 168415027456 is 654720514861.

The square root of 168415027456 is 410384.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 68862157056 + 99552870400 = 262416^2 + 315520^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 85358886 + ... + 85360858.

Almost surely, 2^168415027456 is an apocalyptic number.

168415027456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

168415027456 is the 410384-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 168415027456

168415027456 is an abundant number, since it is smaller than the sum of its proper divisors (195790334183).

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

168415027456 is an frugal number, since it uses more digits than its factorization.

168415027456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3988 (or 1988 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 49.

Multiplying 168415027456 by its sum of digits (49), we get a square (8252336345344 = 2872688²).

The spelling of 168415027456 in words is "one hundred sixty-eight billion, four hundred fifteen million, twenty-seven thousand, four hundred fifty-six".