13335440022252 has 144 divisors (see below), whose sum is σ = 35249240426400. Its totient is φ = 4245409566720.

The previous prime is 13335440022241. The next prime is 13335440022271. The reversal of 13335440022252 is 25222004453331.

13335440022252 is a `hidden beast` number, since 1 + 33 + 354 + 4 + 0 + 0 + 22 + 252 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 200376102 + ... + 200442642.

It is an arithmetic number, because the mean of its divisors is an integer number (244786391850).

Almost surely, 2^{13335440022252} is an apocalyptic number.

13335440022252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13335440022252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17624620213200).

13335440022252 is an abundant number, since it is smaller than the sum of its proper divisors (21913800404148).

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

13335440022252 is a wasteful number, since it uses less digits than its factorization.

13335440022252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68656 (or 68651 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

Adding to 13335440022252 its reverse (25222004453331), we get a palindrome (38557444475583).

The spelling of 13335440022252 in words is "thirteen trillion, three hundred thirty-five billion, four hundred forty million, twenty-two thousand, two hundred fifty-two".