13788395776 has 81 divisors (see below), whose sum is σ = 28369076113. Its totient is φ = 6688471040.

The previous prime is 13788395743. The next prime is 13788395801. The reversal of 13788395776 is 67759388731.

The square root of 13788395776 is 117424.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 664402176 + 13123993600 = 25776^2 + 114560^2 .

It is a super-2 number, since 2×13788395776² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 77030055 + ... + 77030233.

Almost surely, 2^13788395776 is an apocalyptic number.

13788395776 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

13788395776 is the 117424-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13788395776

13788395776 is an abundant number, since it is smaller than the sum of its proper divisors (14580680337).

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

13788395776 is an frugal number, since it uses more digits than its factorization.

13788395776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456 (or 222 counting only the distinct ones).

The product of its digits is 53343360, while the sum is 64.

Multiplying 13788395776 by its sum of digits (64), we get a square (882457329664 = 939392²).

13788395776 divided by its sum of digits (64) gives a square (215443684 = 14678²).

The spelling of 13788395776 in words is "thirteen billion, seven hundred eighty-eight million, three hundred ninety-five thousand, seven hundred seventy-six".