31484397477312 has 560 divisors, whose sum is σ = 105291290966400. Its totient is φ = 9235011502080.

The previous prime is 31484397477307. The next prime is 31484397477319. The reversal of 31484397477312 is 21377479348413.

31484397477312 is a `hidden beast` number, since 3 + 1 + 4 + 8 + 43 + 97 + 477 + 31 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 31484397477312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31484397477319) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 154293112 + ... + 154497032.

It is an arithmetic number, because the mean of its divisors is an integer number (188020162440).

Almost surely, 2^{31484397477312} is an apocalyptic number.

31484397477312 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 31484397477312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52645645483200).

31484397477312 is an abundant number, since it is smaller than the sum of its proper divisors (73806893489088).

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

31484397477312 is a wasteful number, since it uses less digits than its factorization.

31484397477312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204066 (or 204047 counting only the distinct ones).

The product of its digits is 85349376, while the sum is 63.

The spelling of 31484397477312 in words is "thirty-one trillion, four hundred eighty-four billion, three hundred ninety-seven million, four hundred seventy-seven thousand, three hundred twelve".