10225523521344 has 112 divisors (see below), whose sum is σ = 27119332591808. Its totient is φ = 3400409714688.

The previous prime is 10225523521313. The next prime is 10225523521361. The reversal of 10225523521344 is 44312532552201.

It is a super-2 number, since 2×10225523521344² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 795568422 + ... + 795581274.

Almost surely, 2^{10225523521344} 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 10225523521344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13559666295904).

10225523521344 is an abundant number, since it is smaller than the sum of its proper divisors (16893809070464).

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

10225523521344 is a wasteful number, since it uses less digits than its factorization.

10225523521344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22392 (or 22382 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 39.

The spelling of 10225523521344 in words is "ten trillion, two hundred twenty-five billion, five hundred twenty-three million, five hundred twenty-one thousand, three hundred forty-four".