1638676096316 has 96 divisors (see below), whose sum is σ = 3642792652800. Its totient is φ = 628814730240.

The previous prime is 1638676096297. The next prime is 1638676096339. The reversal of 1638676096316 is 6136906768361.

It is a Harshad number since it is a multiple of its sum of digits (62).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70511 + ... + 1811718.

It is an arithmetic number, because the mean of its divisors is an integer number (37945756800).

Almost surely, 2^{1638676096316} 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 1638676096316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1821396326400).

1638676096316 is an abundant number, since it is smaller than the sum of its proper divisors (2004116556484).

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

1638676096316 is a wasteful number, since it uses less digits than its factorization.

1638676096316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1882347 (or 1882345 counting only the distinct ones).

The product of its (nonzero) digits is 35271936, while the sum is 62.

The spelling of 1638676096316 in words is "one trillion, six hundred thirty-eight billion, six hundred seventy-six million, ninety-six thousand, three hundred sixteen".