10214262964224 has 1064 divisors, whose sum is σ = 34492766232672. Its totient is φ = 2996494663680.

The previous prime is 10214262964189. The next prime is 10214262964247. The reversal of 10214262964224 is 42246926241201.

10214262964224 is a `hidden beast` number, since 1 + 0 + 2 + 14 + 2 + 629 + 6 + 4 + 2 + 2 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 10214262964224.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 90391707592 + ... + 90391707704.

Almost surely, 2^{10214262964224} 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 10214262964224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17246383116336).

10214262964224 is an abundant number, since it is smaller than the sum of its proper divisors (24278503268448).

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

10214262964224 is an frugal number, since it uses more digits than its factorization.

10214262964224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 10214262964224 in words is "ten trillion, two hundred fourteen billion, two hundred sixty-two million, nine hundred sixty-four thousand, two hundred twenty-four".