13675274496 has 432 divisors, whose sum is σ = 45783964800. Its totient is φ = 4016922624.

The previous prime is 13675274479. The next prime is 13675274527. The reversal of 13675274496 is 69447257631.

13675274496 is a `hidden beast` number, since 1 + 36 + 7 + 52 + 74 + 496 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 26866690 + ... + 26867198.

It is an arithmetic number, because the mean of its divisors is an integer number (105981400).

Almost surely, 2^13675274496 is an apocalyptic number.

13675274496 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 13675274496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22891982400).

13675274496 is an abundant number, since it is smaller than the sum of its proper divisors (32108690304).

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

13675274496 is a wasteful number, since it uses less digits than its factorization.

13675274496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 583 (or 550 counting only the distinct ones).

The product of its digits is 7620480, while the sum is 54.

The spelling of 13675274496 in words is "thirteen billion, six hundred seventy-five million, two hundred seventy-four thousand, four hundred ninety-six".