31045783214000 has 320 divisors, whose sum is σ = 81690021504000. Its totient is φ = 11363958374400.

The previous prime is 31045783213997. The next prime is 31045783214023. The reversal of 31045783214000 is 41238754013.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1971278126 + ... + 1971293874.

It is an arithmetic number, because the mean of its divisors is an integer number (255281317200).

Almost surely, 2^{31045783214000} 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 31045783214000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40845010752000).

31045783214000 is an abundant number, since it is smaller than the sum of its proper divisors (50644238290000).

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

31045783214000 is a wasteful number, since it uses less digits than its factorization.

31045783214000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17393 (or 17377 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 38.

The spelling of 31045783214000 in words is "thirty-one trillion, forty-five billion, seven hundred eighty-three million, two hundred fourteen thousand".