31434125758464 has 416 divisors, whose sum is σ = 100081471125888. Its totient is φ = 8648589312000.

The previous prime is 31434125758439. The next prime is 31434125758493. The reversal of 31434125758464 is 46485752143413.

31434125758464 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (416).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 107041594 + ... + 107334854.

Almost surely, 2^{31434125758464} 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 31434125758464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50040735562944).

31434125758464 is an abundant number, since it is smaller than the sum of its proper divisors (68647345367424).

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

31434125758464 is a wasteful number, since it uses less digits than its factorization.

31434125758464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293373 (or 293351 counting only the distinct ones).

The product of its digits is 38707200, while the sum is 57.

The spelling of 31434125758464 in words is "thirty-one trillion, four hundred thirty-four billion, one hundred twenty-five million, seven hundred fifty-eight thousand, four hundred sixty-four".