31254065144064 has 864 divisors, whose sum is σ = 115038988646400. Its totient is φ = 7954674647040.

The previous prime is 31254065144059. The next prime is 31254065144077. The reversal of 31254065144064 is 46044156045213.

31254065144064 is a `hidden beast` number, since 3 + 1 + 2 + 540 + 6 + 5 + 1 + 4 + 40 + 64 = 666.

It is a super-2 number, since 2×31254065144064² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 415790644 + ... + 415865804.

It is an arithmetic number, because the mean of its divisors is an integer number (133146977600).

Almost surely, 2^{31254065144064} 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 31254065144064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57519494323200).

31254065144064 is an abundant number, since it is smaller than the sum of its proper divisors (83784923502336).

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

31254065144064 is a wasteful number, since it uses less digits than its factorization.

31254065144064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75291 (or 75274 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

The spelling of 31254065144064 in words is "thirty-one trillion, two hundred fifty-four billion, sixty-five million, one hundred forty-four thousand, sixty-four".