31346448792480 has 144 divisors (see below), whose sum is σ = 106985781269640. Its totient is φ = 8357800771584.

The previous prime is 31346448792473. The next prime is 31346448792481. The reversal of 31346448792480 is 8429784464313.

31346448792480 is a `hidden beast` number, since 3 + 1 + 3 + 4 + 64 + 4 + 8 + 7 + 92 + 480 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 29664623682576 + 1681825109904 = 5446524^2 + 1296852^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (31346448792481) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 8004984 + ... + 11259336.

Almost surely, 2^{31346448792480} is an apocalyptic number.

31346448792480 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31346448792480 is an abundant number, since it is smaller than the sum of its proper divisors (75639332477160).

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

31346448792480 is a wasteful number, since it uses less digits than its factorization.

31346448792480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3261063 (or 3261052 counting only the distinct ones).

The product of its (nonzero) digits is 111476736, while the sum is 63.

The spelling of 31346448792480 in words is "thirty-one trillion, three hundred forty-six billion, four hundred forty-eight million, seven hundred ninety-two thousand, four hundred eighty".