13274632512 has 560 divisors, whose sum is σ = 44398582272. Its totient is φ = 3901685760.

The previous prime is 13274632451. The next prime is 13274632519. The reversal of 13274632512 is 21523647231.

13274632512 is a `hidden beast` number, since 1 + 3 + 2 + 7 + 4 + 632 + 5 + 12 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13274632519) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 117474568 + ... + 117474680.

Almost surely, 2^13274632512 is an apocalyptic number.

13274632512 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 13274632512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22199291136).

13274632512 is an abundant number, since it is smaller than the sum of its proper divisors (31123949760).

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

13274632512 is a wasteful number, since it uses less digits than its factorization.

13274632512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 209 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The spelling of 13274632512 in words is "thirteen billion, two hundred seventy-four million, six hundred thirty-two thousand, five hundred twelve".