13253308416 has 156 divisors (see below), whose sum is σ = 38471881968. Its totient is φ = 4395958272.

The previous prime is 13253308403. The next prime is 13253308429. The reversal of 13253308416 is 61480335231.

13253308416 is a `hidden beast` number, since 1 + 32 + 533 + 0 + 84 + 16 = 666.

It is an interprime number because it is at equal distance from previous prime (13253308403) and next prime (13253308429).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8588541 + ... + 8590083.

It is an arithmetic number, because the mean of its divisors is an integer number (246614628).

Almost surely, 2^13253308416 is an apocalyptic number.

13253308416 is a gapful number since it is divisible by the number (16) 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 13253308416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19235940984).

13253308416 is an abundant number, since it is smaller than the sum of its proper divisors (25218573552).

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

13253308416 is a wasteful number, since it uses less digits than its factorization.

13253308416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1806 (or 1781 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 13253308416 in words is "thirteen billion, two hundred fifty-three million, three hundred eight thousand, four hundred sixteen".