165406641456 has 120 divisors (see below), whose sum is σ = 497254862640. Its totient is φ = 47240879616.

The previous prime is 165406641451. The next prime is 165406641467. The reversal of 165406641456 is 654146604561.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (165406641451) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6848730 + ... + 6872838.

It is an arithmetic number, because the mean of its divisors is an integer number (4143790522).

Almost surely, 2^165406641456 is an apocalyptic number.

165406641456 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 165406641456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248627431320).

165406641456 is an abundant number, since it is smaller than the sum of its proper divisors (331848221184).

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

165406641456 is a wasteful number, since it uses less digits than its factorization.

165406641456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27051 (or 27038 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 48.

The spelling of 165406641456 in words is "one hundred sixty-five billion, four hundred six million, six hundred forty-one thousand, four hundred fifty-six".