193131116640 has 2304 divisors, whose sum is σ = 935794944000. Its totient is φ = 36849254400.

The previous prime is 193131116617. The next prime is 193131116669. The reversal of 193131116640 is 46611131391.

It is a happy number.

193131116640 is a `hidden beast` number, since 1 + 9 + 3 + 1 + 3 + 1 + 1 + 1 + 6 + 640 = 666.

193131116640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×193131116640² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 193131116595 and 193131116604.

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 383 ways as a sum of consecutive naturals, for example, 4710515020 + ... + 4710515060.

It is an arithmetic number, because the mean of its divisors is an integer number (406161000).

Almost surely, 2^193131116640 is an apocalyptic number.

193131116640 is a gapful number since it is divisible by the number (10) 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 193131116640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467897472000).

193131116640 is an abundant number, since it is smaller than the sum of its proper divisors (742663827360).

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

193131116640 is a wasteful number, since it uses less digits than its factorization.

193131116640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The spelling of 193131116640 in words is "one hundred ninety-three billion, one hundred thirty-one million, one hundred sixteen thousand, six hundred forty".