31448460960 has 288 divisors, whose sum is σ = 124129998720. Its totient is φ = 7101425664.

The previous prime is 31448460937. The next prime is 31448460991. The reversal of 31448460960 is 6906484413.

31448460960 is a `hidden beast` number, since 31 + 4 + 4 + 8 + 4 + 609 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 817846 + ... + 855434.

It is an arithmetic number, because the mean of its divisors is an integer number (431006940).

Almost surely, 2^31448460960 is an apocalyptic number.

31448460960 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 31448460960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62064999360).

31448460960 is an abundant number, since it is smaller than the sum of its proper divisors (92681537760).

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

31448460960 is a wasteful number, since it uses less digits than its factorization.

31448460960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37700 (or 37689 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 31448460960 in words is "thirty-one billion, four hundred forty-eight million, four hundred sixty thousand, nine hundred sixty".