2163414456 has 96 divisors (see below), whose sum is σ = 6796333440. Its totient is φ = 608883264.

The previous prime is 2163414437. The next prime is 2163414479. The reversal of 2163414456 is 6544143612.

2163414456 is a `hidden beast` number, since 2 + 1 + 634 + 14 + 4 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2163414456.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1735 + ... + 65801.

It is an arithmetic number, because the mean of its divisors is an integer number (70795140).

Almost surely, 2^2163414456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2163414456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3398166720).

2163414456 is an abundant number, since it is smaller than the sum of its proper divisors (4632918984).

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

2163414456 is a wasteful number, since it uses less digits than its factorization.

2163414456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64153 (or 64146 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 2163414456 is about 46512.5193469457. The cubic root of 2163414456 is about 1293.3415871393.

The spelling of 2163414456 in words is "two billion, one hundred sixty-three million, four hundred fourteen thousand, four hundred fifty-six".