13619783081664 has 392 divisors, whose sum is σ = 42220149654528. Its totient is φ = 4352368412160.

The previous prime is 13619783081551. The next prime is 13619783081689. The reversal of 13619783081664 is 46618038791631.

13619783081664 is a `hidden beast` number, since 1 + 3 + 619 + 7 + 8 + 3 + 0 + 8 + 1 + 6 + 6 + 4 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 154713949 + ... + 154801955.

Almost surely, 2^{13619783081664} 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 13619783081664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21110074827264).

13619783081664 is an abundant number, since it is smaller than the sum of its proper divisors (28600366572864).

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

13619783081664 is an equidigital number, since it uses as much as digits as its factorization.

13619783081664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88175 (or 88150 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The spelling of 13619783081664 in words is "thirteen trillion, six hundred nineteen billion, seven hundred eighty-three million, eighty-one thousand, six hundred sixty-four".