13784713488 has 600 divisors, whose sum is σ = 50916854208. Its totient is φ = 3537271296.

The previous prime is 13784713471. The next prime is 13784713499. The reversal of 13784713488 is 88431748731.

13784713488 is a `hidden beast` number, since 13 + 7 + 84 + 71 + 3 + 488 = 666.

It is a super-2 number, since 2×13784713488² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 372559806 + ... + 372559842.

Almost surely, 2^13784713488 is an apocalyptic number.

13784713488 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 13784713488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25458427104).

13784713488 is an abundant number, since it is smaller than the sum of its proper divisors (37132140720).

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

13784713488 is an frugal number, since it uses more digits than its factorization.

13784713488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 62 counting only the distinct ones).

The product of its digits is 3612672, while the sum is 54.

The spelling of 13784713488 in words is "thirteen billion, seven hundred eighty-four million, seven hundred thirteen thousand, four hundred eighty-eight".