31354126144 has 224 divisors, whose sum is σ = 72983457792. Its totient is φ = 13229568000.

The previous prime is 31354126129. The next prime is 31354126183. The reversal of 31354126144 is 44162145313.

It is a super-3 number, since 3×31354126144³ (a number of 32 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59950267 + ... + 59950789.

It is an arithmetic number, because the mean of its divisors is an integer number (325819008).

Almost surely, 2^31354126144 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 31354126144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36491728896).

31354126144 is an abundant number, since it is smaller than the sum of its proper divisors (41629331648).

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

31354126144 is a wasteful number, since it uses less digits than its factorization.

31354126144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 685 (or 675 counting only the distinct ones).

The product of its digits is 34560, while the sum is 34.

The spelling of 31354126144 in words is "thirty-one billion, three hundred fifty-four million, one hundred twenty-six thousand, one hundred forty-four".