1638034169436 has 216 divisors, whose sum is σ = 5037521448960. Its totient is φ = 446636925504.

The previous prime is 1638034169419. The next prime is 1638034169441. The reversal of 1638034169436 is 6349614308361.

1638034169436 is a `hidden beast` number, since 1 + 63 + 80 + 3 + 416 + 94 + 3 + 6 = 666.

It is a super-3 number, since 3×1638034169436³ (a number of 38 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 17765125 + ... + 17857091.

It is an arithmetic number, because the mean of its divisors is an integer number (23321858560).

Almost surely, 2^{1638034169436} 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 1638034169436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2518760724480).

1638034169436 is an abundant number, since it is smaller than the sum of its proper divisors (3399487279524).

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

1638034169436 is a wasteful number, since it uses less digits than its factorization.

1638034169436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92453 (or 92441 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 54.

The spelling of 1638034169436 in words is "one trillion, six hundred thirty-eight billion, thirty-four million, one hundred sixty-nine thousand, four hundred thirty-six".