190460163100032 has 768 divisors, whose sum is σ = 686688775718400. Its totient is φ = 51331609018368.

The previous prime is 190460163099971. The next prime is 190460163100033. The reversal of 190460163100032 is 230001361064091.

190460163100032 is a `hidden beast` number, since 1 + 9 + 0 + 4 + 601 + 6 + 3 + 10 + 0 + 0 + 32 = 666.

190460163100032 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 a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 190460163100032.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (190460163100033) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 963783058 + ... + 963980654.

It is an arithmetic number, because the mean of its divisors is an integer number (894126010050).

Almost surely, 2^{190460163100032} is an apocalyptic number.

190460163100032 is a gapful number since it is divisible by the number (12) 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 190460163100032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343344387859200).

190460163100032 is an abundant number, since it is smaller than the sum of its proper divisors (496228612618368).

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

190460163100032 is a wasteful number, since it uses less digits than its factorization.

190460163100032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197885 (or 197861 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 190460163100032 in words is "one hundred ninety trillion, four hundred sixty billion, one hundred sixty-three million, one hundred thousand, thirty-two".