13774071688 has 64 divisors (see below), whose sum is σ = 28523139120. Its totient is φ = 6195302400.

The previous prime is 13774071643. The next prime is 13774071697. The reversal of 13774071688 is 88617047731.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 3120116164 + 10653955524 = 55858^2 + 103218^2 .

It is a Harshad number since it is a multiple of its sum of digits (52).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7337406 + ... + 7339282.

Almost surely, 2^13774071688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13774071688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14261569560).

13774071688 is an abundant number, since it is smaller than the sum of its proper divisors (14749067432).

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

13774071688 is a wasteful number, since it uses less digits than its factorization.

13774071688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3658 (or 3654 counting only the distinct ones).

The product of its (nonzero) digits is 1580544, while the sum is 52.

The spelling of 13774071688 in words is "thirteen billion, seven hundred seventy-four million, seventy-one thousand, six hundred eighty-eight".