31293343971456 has 128 divisors (see below), whose sum is σ = 99127984204800. Its totient is φ = 8552218211328.

The previous prime is 31293343971443. The next prime is 31293343971499. The reversal of 31293343971456 is 65417934339213.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×31293343971456³ (a number of 41 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 31293343971456.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 253022286 + ... + 253145933.

It is an arithmetic number, because the mean of its divisors is an integer number (774437376600).

Almost surely, 2^{31293343971456} is an apocalyptic number.

It is an amenable number.

31293343971456 is an abundant number, since it is smaller than the sum of its proper divisors (67834640233344).

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

31293343971456 is a wasteful number, since it uses less digits than its factorization.

31293343971456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506168266 (or 506168254 counting only the distinct ones).

The product of its digits is 44089920, while the sum is 60.

The spelling of 31293343971456 in words is "thirty-one trillion, two hundred ninety-three billion, three hundred forty-three million, nine hundred seventy-one thousand, four hundred fifty-six".