141421164192 has 864 divisors, whose sum is σ = 555547809600. Its totient is φ = 34775516160.

The previous prime is 141421164191. The next prime is 141421164239. The reversal of 141421164192 is 291461124141.

141421164192 is a `hidden beast` number, since 1 + 4 + 1 + 4 + 2 + 1 + 1 + 641 + 9 + 2 = 666.

141421164192 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (141421164191) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 97329738 + ... + 97331190.

It is an arithmetic number, because the mean of its divisors is an integer number (642995150).

Almost surely, 2^141421164192 is an apocalyptic number.

141421164192 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 141421164192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277773904800).

141421164192 is an abundant number, since it is smaller than the sum of its proper divisors (414126645408).

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

141421164192 is a wasteful number, since it uses less digits than its factorization.

141421164192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1527 (or 1495 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The spelling of 141421164192 in words is "one hundred forty-one billion, four hundred twenty-one million, one hundred sixty-four thousand, one hundred ninety-two".