1231639753344 has 1024 divisors, whose sum is σ = 4646690979840. Its totient is φ = 278691840000.

The previous prime is 1231639753307. The next prime is 1231639753387. The reversal of 1231639753344 is 4433579361321.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 488550804 + ... + 488553324.

It is an arithmetic number, because the mean of its divisors is an integer number (4537784160).

Almost surely, 2^{1231639753344} is an apocalyptic number.

1231639753344 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 1231639753344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2323345489920).

1231639753344 is an abundant number, since it is smaller than the sum of its proper divisors (3415051226496).

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

1231639753344 is a wasteful number, since it uses less digits than its factorization.

1231639753344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2641 (or 2629 counting only the distinct ones).

The product of its digits is 4898880, while the sum is 51.

The spelling of 1231639753344 in words is "one trillion, two hundred thirty-one billion, six hundred thirty-nine million, seven hundred fifty-three thousand, three hundred forty-four".