1253445002224 has 160 divisors (see below), whose sum is σ = 2610636480000. Its totient is φ = 581842501632.

The previous prime is 1253445002179. The next prime is 1253445002291. The reversal of 1253445002224 is 4222005443521.

It is a super-2 number, since 2×1253445002224² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1253445002224.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 871052097 + ... + 871053535.

It is an arithmetic number, because the mean of its divisors is an integer number (16316478000).

Almost surely, 2^{1253445002224} 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 1253445002224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1305318240000).

1253445002224 is an abundant number, since it is smaller than the sum of its proper divisors (1357191477776).

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

1253445002224 is a wasteful number, since it uses less digits than its factorization.

1253445002224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2075 (or 2069 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 34.

The spelling of 1253445002224 in words is "one trillion, two hundred fifty-three billion, four hundred forty-five million, two thousand, two hundred twenty-four".