10214516466 has 96 divisors (see below), whose sum is σ = 27612793728. Its totient is φ = 2651166720.

The previous prime is 10214516441. The next prime is 10214516471. The reversal of 10214516466 is 66461541201.

10214516466 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 4 + 5 + 1 + 646 + 6 = 666.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 10214516466.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3708946 + ... + 3711698.

It is an arithmetic number, because the mean of its divisors is an integer number (287633268).

Almost surely, 2^10214516466 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10214516466, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13806396864).

10214516466 is an abundant number, since it is smaller than the sum of its proper divisors (17398277262).

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

10214516466 is a wasteful number, since it uses less digits than its factorization.

10214516466 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5456 (or 5453 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 10214516466 in words is "ten billion, two hundred fourteen million, five hundred sixteen thousand, four hundred sixty-six".