193806891432 has 768 divisors, whose sum is σ = 725957406720. Its totient is φ = 46942156800.

The previous prime is 193806891401. The next prime is 193806891461. The reversal of 193806891432 is 234198608391.

It is a super-2 number, since 2×193806891432² (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 141155098 + ... + 141156470.

It is an arithmetic number, because the mean of its divisors is an integer number (945257040).

Almost surely, 2^193806891432 is an apocalyptic number.

193806891432 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 193806891432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362978703360).

193806891432 is an abundant number, since it is smaller than the sum of its proper divisors (532150515288).

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

193806891432 is a wasteful number, since it uses less digits than its factorization.

193806891432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1476 (or 1460 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 193806891432 in words is "one hundred ninety-three billion, eight hundred six million, eight hundred ninety-one thousand, four hundred thirty-two".