31063409321472 has 800 divisors, whose sum is σ = 107186472439200. Its totient is φ = 8866735718400.

The previous prime is 31063409321423. The next prime is 31063409321491. The reversal of 31063409321472 is 27412390436013.

31063409321472 is a `hidden beast` number, since 3 + 1 + 0 + 6 + 340 + 93 + 214 + 7 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 542383654 + ... + 542440922.

It is an arithmetic number, because the mean of its divisors is an integer number (133983090549).

Almost surely, 2^{31063409321472} is an apocalyptic number.

31063409321472 is a gapful number since it is divisible by the number (32) 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 31063409321472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53593236219600).

31063409321472 is an abundant number, since it is smaller than the sum of its proper divisors (76123063117728).

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

31063409321472 is a wasteful number, since it uses less digits than its factorization.

31063409321472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57380 (or 57355 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

Adding to 31063409321472 its reverse (27412390436013), we get a palindrome (58475799757485).

The spelling of 31063409321472 in words is "thirty-one trillion, sixty-three billion, four hundred nine million, three hundred twenty-one thousand, four hundred seventy-two".