31493909049120 has 2304 divisors, whose sum is σ = 138237144514560. Its totient is φ = 6363944091648.

The previous prime is 31493909049103. The next prime is 31493909049149. The reversal of 31493909049120 is 2194090939413.

31493909049120 is a `hidden beast` number, since 3 + 1 + 4 + 9 + 390 + 90 + 49 + 120 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 64669217517 + ... + 64669218003.

It is an arithmetic number, because the mean of its divisors is an integer number (59998760640).

Almost surely, 2^{31493909049120} is an apocalyptic number.

31493909049120 is a gapful number since it is divisible by the number (30) 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 31493909049120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69118572257280).

31493909049120 is an abundant number, since it is smaller than the sum of its proper divisors (106743235465440).

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

31493909049120 is a wasteful number, since it uses less digits than its factorization.

31493909049120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 887 (or 876 counting only the distinct ones).

The product of its (nonzero) digits is 1889568, while the sum is 54.

The spelling of 31493909049120 in words is "thirty-one trillion, four hundred ninety-three billion, nine hundred nine million, forty-nine thousand, one hundred twenty".