2338413745500 has 720 divisors, whose sum is σ = 9114831101376. Its totient is φ = 520032441600.

The previous prime is 2338413745453. The next prime is 2338413745523. The reversal of 2338413745500 is 55473148332.

2338413745500 is a `hidden beast` number, since 2 + 3 + 3 + 8 + 4 + 137 + 4 + 5 + 500 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 73410577 + ... + 73442423.

Almost surely, 2^{2338413745500} is an apocalyptic number.

2338413745500 is a gapful number since it is divisible by the number (20) 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 2338413745500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4557415550688).

2338413745500 is an abundant number, since it is smaller than the sum of its proper divisors (6776417355876).

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

2338413745500 is a wasteful number, since it uses less digits than its factorization.

2338413745500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31929 (or 31901 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 2338413745500 in words is "two trillion, three hundred thirty-eight billion, four hundred thirteen million, seven hundred forty-five thousand, five hundred".