31220433210468 has 192 divisors, whose sum is σ = 78871968000000. Its totient is φ = 9575196973056.

The previous prime is 31220433210433. The next prime is 31220433210469. The reversal of 31220433210468 is 86401233402213.

It is not an unprimeable number, because it can be changed into a prime (31220433210469) 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, 4163275783 + ... + 4163283281.

It is an arithmetic number, because the mean of its divisors is an integer number (410791500000).

Almost surely, 2^{31220433210468} 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 31220433210468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39435984000000).

31220433210468 is an abundant number, since it is smaller than the sum of its proper divisors (47651534789532).

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

31220433210468 is a wasteful number, since it uses less digits than its factorization.

31220433210468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8914 (or 8912 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 39.

The spelling of 31220433210468 in words is "thirty-one trillion, two hundred twenty billion, four hundred thirty-three million, two hundred ten thousand, four hundred sixty-eight".