31411645000 has 160 divisors (see below), whose sum is σ = 75349474200. Its totient is φ = 12268800000.

The previous prime is 31411644997. The next prime is 31411645009. The reversal of 31411645000 is 54611413.

It can be written as a sum of positive squares in 20 ways, for example, as 31264605124 + 147039876 = 176818^2 + 12126^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (31411645009) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 55204716 + ... + 55205284.

Almost surely, 2^31411645000 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 31411645000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37674737100).

31411645000 is an abundant number, since it is smaller than the sum of its proper divisors (43937829200).

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

31411645000 is a wasteful number, since it uses less digits than its factorization.

31411645000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 837 (or 818 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The spelling of 31411645000 in words is "thirty-one billion, four hundred eleven million, six hundred forty-five thousand".