31354845813504 has 432 divisors, whose sum is σ = 104234138517600. Its totient is φ = 8997733269504.

The previous prime is 31354845813503. The next prime is 31354845813541. The reversal of 31354845813504 is 40531854845313.

It is a happy number.

31354845813504 is a `hidden beast` number, since 3 + 1 + 3 + 5 + 4 + 8 + 4 + 581 + 3 + 50 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (31354845813503) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 20855142 + ... + 22307994.

It is an arithmetic number, because the mean of its divisors is an integer number (241282728050).

Almost surely, 2^{31354845813504} is an apocalyptic number.

31354845813504 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31354845813504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52117069258800).

31354845813504 is an abundant number, since it is smaller than the sum of its proper divisors (72879292704096).

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

31354845813504 is a wasteful number, since it uses less digits than its factorization.

31354845813504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1452940 (or 1452923 counting only the distinct ones).

The product of its (nonzero) digits is 13824000, while the sum is 54.

The spelling of 31354845813504 in words is "thirty-one trillion, three hundred fifty-four billion, eight hundred forty-five million, eight hundred thirteen thousand, five hundred four".