1468576838336 has 56 divisors (see below), whose sum is σ = 2947328796720. Its totient is φ = 725963904000.

The previous prime is 1468576838329. The next prime is 1468576838387. The reversal of 1468576838336 is 6338386758641.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4302230 + ... + 4631018.

It is an arithmetic number, because the mean of its divisors is an integer number (52630871370).

Almost surely, 2^{1468576838336} is an apocalyptic number.

1468576838336 is a gapful number since it is divisible by the number (16) 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 1468576838336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1473664398360).

1468576838336 is an abundant number, since it is smaller than the sum of its proper divisors (1478751958384).

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

1468576838336 is a wasteful number, since it uses less digits than its factorization.

1468576838336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329593 (or 329583 counting only the distinct ones).

The product of its digits is 418037760, while the sum is 68.

The spelling of 1468576838336 in words is "one trillion, four hundred sixty-eight billion, five hundred seventy-six million, eight hundred thirty-eight thousand, three hundred thirty-six".