2338195580664 has 128 divisors (see below), whose sum is σ = 6225690240000. Its totient is φ = 730477440000.

The previous prime is 2338195580629. The next prime is 2338195580671. The reversal of 2338195580664 is 4660855918332.

It is a junction number, because it is equal to n+sod(n) for n = 2338195580598 and 2338195580607.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5472789 + ... + 5884539.

It is an arithmetic number, because the mean of its divisors is an integer number (48638205000).

Almost surely, 2^{2338195580664} is an apocalyptic number.

2338195580664 is a gapful number since it is divisible by the number (24) 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 2338195580664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3112845120000).

2338195580664 is an abundant number, since it is smaller than the sum of its proper divisors (3887494659336).

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

2338195580664 is a wasteful number, since it uses less digits than its factorization.

2338195580664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412029 (or 412025 counting only the distinct ones).

The product of its (nonzero) digits is 37324800, while the sum is 60.

The spelling of 2338195580664 in words is "two trillion, three hundred thirty-eight billion, one hundred ninety-five million, five hundred eighty thousand, six hundred sixty-four".