31349809539776 has 448 divisors, whose sum is σ = 80413506432000. Its totient is φ = 12044489490432.

The previous prime is 31349809539773. The next prime is 31349809539781. The reversal of 31349809539776 is 67793590894313.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×31349809539776² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (31349809539773) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1397475056 + ... + 1397497488.

It is an arithmetic number, because the mean of its divisors is an integer number (179494434000).

Almost surely, 2^{31349809539776} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31349809539776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40206753216000).

31349809539776 is an abundant number, since it is smaller than the sum of its proper divisors (49063696892224).

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

31349809539776 is a wasteful number, since it uses less digits than its factorization.

31349809539776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22621 (or 22597 counting only the distinct ones).

The product of its (nonzero) digits is 925888320, while the sum is 74.

The spelling of 31349809539776 in words is "thirty-one trillion, three hundred forty-nine billion, eight hundred nine million, five hundred thirty-nine thousand, seven hundred seventy-six".