10214830638144 has 560 divisors, whose sum is σ = 33469455820416. Its totient is φ = 3054661632000.

The previous prime is 10214830638139. The next prime is 10214830638169. The reversal of 10214830638144 is 44183603841201.

10214830638144 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 4 + 8 + 3 + 0 + 638 + 1 + 4 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 10214830638144.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2063182869 + ... + 2063187819.

Almost surely, 2^{10214830638144} 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 10214830638144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16734727910208).

10214830638144 is an abundant number, since it is smaller than the sum of its proper divisors (23254625182272).

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

10214830638144 is a wasteful number, since it uses less digits than its factorization.

10214830638144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5456 (or 5437 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 10214830638144 in words is "ten trillion, two hundred fourteen billion, eight hundred thirty million, six hundred thirty-eight thousand, one hundred forty-four".