13718274048 has 150 divisors (see below), whose sum is σ = 40988174766. Its totient is φ = 4572315648.

The previous prime is 13718274043. The next prime is 13718274067. The reversal of 13718274048 is 84047281731.

13718274048 is a `hidden beast` number, since 1 + 371 + 8 + 274 + 0 + 4 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 8282456064 + 5435817984 = 91008^2 + 73728^2 .

It is a super-4 number, since 4×13718274048⁴ (a number of 42 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13718273994 and 13718274012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13718274043) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1321936 + ... + 1332272.

Almost surely, 2^13718274048 is an apocalyptic number.

13718274048 is a gapful number since it is divisible by the number (18) 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 13718274048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20494087383).

13718274048 is an abundant number, since it is smaller than the sum of its proper divisors (27269900718).

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

13718274048 is an frugal number, since it uses more digits than its factorization.

13718274048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10377 (or 10342 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The spelling of 13718274048 in words is "thirteen billion, seven hundred eighteen million, two hundred seventy-four thousand, forty-eight".