10214664400608 has 96 divisors (see below), whose sum is σ = 26931581913600. Its totient is φ = 3389896129536.

The previous prime is 10214664400541. The next prime is 10214664400613. The reversal of 10214664400608 is 80600446641201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 10214664400608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 258979353 + ... + 259018791.

It is an arithmetic number, because the mean of its divisors is an integer number (280537311600).

Almost surely, 2^{10214664400608} 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 10214664400608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13465790956800).

10214664400608 is an abundant number, since it is smaller than the sum of its proper divisors (16716917512992).

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

10214664400608 is a wasteful number, since it uses less digits than its factorization.

10214664400608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51264 (or 51256 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 42.

The spelling of 10214664400608 in words is "ten trillion, two hundred fourteen billion, six hundred sixty-four million, four hundred thousand, six hundred eight".