31533795326016 has 315 divisors, whose sum is σ = 97745752342623. Its totient is φ = 10051288600320.

The previous prime is 31533795325999. The next prime is 31533795326029. The reversal of 31533795326016 is 61062359733513.

The square root of 31533795326016 is 5615496.

It is a perfect power (a square), and thus also a powerful number.

31533795326016 is a `hidden beast` number, since 3 + 1 + 5 + 3 + 37 + 9 + 532 + 60 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 9299259681 + ... + 9299263071.

Almost surely, 2^{31533795326016} is an apocalyptic number.

31533795326016 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

31533795326016 is the 5615496-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31533795326016

31533795326016 is an abundant number, since it is smaller than the sum of its proper divisors (66211957016607).

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

31533795326016 is an frugal number, since it uses more digits than its factorization.

31533795326016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6852 (or 3419 counting only the distinct ones).

The product of its (nonzero) digits is 9185400, while the sum is 54.

The spelling of 31533795326016 in words is "thirty-one trillion, five hundred thirty-three billion, seven hundred ninety-five million, three hundred twenty-six thousand, sixteen".