193783136081040 has 960 divisors, whose sum is σ = 746105594757120. Its totient is φ = 44642658816000.

The previous prime is 193783136080999. The next prime is 193783136081089. The reversal of 193783136081040 is 40180631387391.

193783136081040 is a `hidden beast` number, since 1 + 9 + 3 + 7 + 8 + 3 + 13 + 608 + 10 + 4 + 0 = 666.

193783136081040 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 9270579229 + ... + 9270600131.

It is an arithmetic number, because the mean of its divisors is an integer number (777193327872).

Almost surely, 2^{193783136081040} is an apocalyptic number.

193783136081040 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 193783136081040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373052797378560).

193783136081040 is an abundant number, since it is smaller than the sum of its proper divisors (552322458676080).

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

193783136081040 is a wasteful number, since it uses less digits than its factorization.

193783136081040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21644 (or 21635 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 193783136081040 in words is "one hundred ninety-three trillion, seven hundred eighty-three billion, one hundred thirty-six million, eighty-one thousand, forty".