31390146208320 has 224 divisors, whose sum is σ = 100298566455552. Its totient is φ = 8317441548288.

The previous prime is 31390146208313. The next prime is 31390146208397. The reversal of 31390146208320 is 2380264109313.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 287762109 + ... + 287871171.

Almost surely, 2^{31390146208320} is an apocalyptic number.

31390146208320 is a gapful number since it is divisible by the number (30) 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 31390146208320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50149283227776).

31390146208320 is an abundant number, since it is smaller than the sum of its proper divisors (68908420247232).

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

31390146208320 is a wasteful number, since it uses less digits than its factorization.

31390146208320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110989 (or 110979 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 42.

The spelling of 31390146208320 in words is "thirty-one trillion, three hundred ninety billion, one hundred forty-six million, two hundred eight thousand, three hundred twenty".