2338331192496 has 240 divisors, whose sum is σ = 7092694600992. Its totient is φ = 714883276800.

The previous prime is 2338331192479. The next prime is 2338331192521. The reversal of 2338331192496 is 6942911338332.

2338331192496 is a `hidden beast` number, since 2 + 3 + 3 + 8 + 33 + 119 + 2 + 496 = 666.

It is a nude number because it is divisible by every one of its digits.

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 47 ways as a sum of consecutive naturals, for example, 207975451 + ... + 207986693.

Almost surely, 2^{2338331192496} is an apocalyptic number.

2338331192496 is a gapful number since it is divisible by the number (26) 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 2338331192496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3546347300496).

2338331192496 is an abundant number, since it is smaller than the sum of its proper divisors (4754363408496).

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

2338331192496 is a wasteful number, since it uses less digits than its factorization.

2338331192496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11972 (or 11963 counting only the distinct ones).

The product of its digits is 5038848, while the sum is 54.

The spelling of 2338331192496 in words is "two trillion, three hundred thirty-eight billion, three hundred thirty-one million, one hundred ninety-two thousand, four hundred ninety-six".