31445061200 has 240 divisors, whose sum is σ = 87740991360. Its totient is φ = 10607708160.

The previous prime is 31445061163. The next prime is 31445061247. The reversal of 31445061200 is 216054413.

It is a self number, because there is not a number n which added to its sum of digits gives 31445061200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 60124139 + ... + 60124661.

It is an arithmetic number, because the mean of its divisors is an integer number (365587464).

Almost surely, 2^31445061200 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 31445061200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43870495680).

31445061200 is an abundant number, since it is smaller than the sum of its proper divisors (56295930160).

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

31445061200 is a wasteful number, since it uses less digits than its factorization.

31445061200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 854 (or 843 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The spelling of 31445061200 in words is "thirty-one billion, four hundred forty-five million, sixty-one thousand, two hundred".