10225352261264 has 40 divisors (see below), whose sum is σ = 23372233747968. Its totient is φ = 4240929507840.

The previous prime is 10225352261261. The next prime is 10225352261407. The reversal of 10225352261264 is 46216225352201.

10225352261264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10225352261264² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10225352261261) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1472541497 + ... + 1472548440.

Almost surely, 2^{10225352261264} is an apocalyptic number.

10225352261264 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10225352261264 is an abundant number, since it is smaller than the sum of its proper divisors (13146881486704).

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

10225352261264 is a wasteful number, since it uses less digits than its factorization.

10225352261264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2945089983 (or 2945089977 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 41.

The spelling of 10225352261264 in words is "ten trillion, two hundred twenty-five billion, three hundred fifty-two million, two hundred sixty-one thousand, two hundred sixty-four".