13783674909888 has 672 divisors, whose sum is σ = 46853180075520. Its totient is φ = 3980177326080.

The previous prime is 13783674909859. The next prime is 13783674909899. The reversal of 13783674909888 is 88890947638731.

13783674909888 is a `hidden beast` number, since 1 + 3 + 7 + 8 + 36 + 7 + 490 + 98 + 8 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1233874543 + ... + 1233885713.

It is an arithmetic number, because the mean of its divisors is an integer number (69721994160).

Almost surely, 2^{13783674909888} is an apocalyptic number.

13783674909888 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 13783674909888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23426590037760).

13783674909888 is an abundant number, since it is smaller than the sum of its proper divisors (33069505165632).

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

13783674909888 is a wasteful number, since it uses less digits than its factorization.

13783674909888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11587 (or 11565 counting only the distinct ones).

The product of its (nonzero) digits is 3511517184, while the sum is 81.

The spelling of 13783674909888 in words is "thirteen trillion, seven hundred eighty-three billion, six hundred seventy-four million, nine hundred nine thousand, eight hundred eighty-eight".