1838414865096 has 384 divisors, whose sum is σ = 5652422455680. Its totient is φ = 557495156736.

The previous prime is 1838414865061. The next prime is 1838414865097. The reversal of 1838414865096 is 6905684148381.

1838414865096 is a `hidden beast` number, since 1 + 8 + 3 + 8 + 41 + 4 + 86 + 509 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (1838414865097) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 137836540 + ... + 137849876.

It is an arithmetic number, because the mean of its divisors is an integer number (14719850145).

Almost surely, 2^{1838414865096} 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 1838414865096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2826211227840).

1838414865096 is an abundant number, since it is smaller than the sum of its proper divisors (3814007590584).

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

1838414865096 is a wasteful number, since it uses less digits than its factorization.

1838414865096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13515 (or 13499 counting only the distinct ones).

The product of its (nonzero) digits is 39813120, while the sum is 63.

The spelling of 1838414865096 in words is "one trillion, eight hundred thirty-eight billion, four hundred fourteen million, eight hundred sixty-five thousand, ninety-six".