1233680339584 has 128 divisors (see below), whose sum is σ = 3067559424000. Its totient is φ = 480123571200.

The previous prime is 1233680339557. The next prime is 1233680339603. The reversal of 1233680339584 is 4859330863321.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8910117 + ... + 9047515.

It is an arithmetic number, because the mean of its divisors is an integer number (23965308000).

Almost surely, 2^{1233680339584} is an apocalyptic number.

1233680339584 is a gapful number since it is divisible by the number (14) 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 1233680339584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1533779712000).

1233680339584 is an abundant number, since it is smaller than the sum of its proper divisors (1833879084416).

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

1233680339584 is a wasteful number, since it uses less digits than its factorization.

1233680339584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138342 (or 138330 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 55.

The spelling of 1233680339584 in words is "one trillion, two hundred thirty-three billion, six hundred eighty million, three hundred thirty-nine thousand, five hundred eighty-four".