31465600460 has 192 divisors, whose sum is σ = 78250475520. Its totient is φ = 10407571200.

The previous prime is 31465600459. The next prime is 31465600471. The reversal of 31465600460 is 6400656413.

It is a super-4 number, since 4×31465600460⁴ (a number of 43 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 31465600460.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 138614867 + ... + 138615093.

It is an arithmetic number, because the mean of its divisors is an integer number (407554560).

Almost surely, 2^31465600460 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 31465600460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39125237760).

31465600460 is an abundant number, since it is smaller than the sum of its proper divisors (46784875060).

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

31465600460 is a wasteful number, since it uses less digits than its factorization.

31465600460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556 (or 554 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 35.

The spelling of 31465600460 in words is "thirty-one billion, four hundred sixty-five million, six hundred thousand, four hundred sixty".