13749208704 has 768 divisors, whose sum is σ = 52772515200. Its totient is φ = 3512678400.

The previous prime is 13749208703. The next prime is 13749208751. The reversal of 13749208704 is 40780294731.

13749208704 is a `hidden beast` number, since 1 + 374 + 9 + 208 + 70 + 4 = 666.

It is a super-2 number, since 2×13749208704² (a number of 21 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 13749208704.

It is not an unprimeable number, because it can be changed into a prime (13749208703) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 225396834 + ... + 225396894.

Almost surely, 2^13749208704 is an apocalyptic number.

13749208704 is a gapful number since it is divisible by the number (14) 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 13749208704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26386257600).

13749208704 is an abundant number, since it is smaller than the sum of its proper divisors (39023306496).

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

13749208704 is an equidigital number, since it uses as much as digits as its factorization.

13749208704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 13749208704 in words is "thirteen billion, seven hundred forty-nine million, two hundred eight thousand, seven hundred four".