141413641992 has 288 divisors, whose sum is σ = 455995725120. Its totient is φ = 40272992640.

The previous prime is 141413641981. The next prime is 141413642017. The reversal of 141413641992 is 299146314141.

It is a happy number.

141413641992 is a `hidden beast` number, since 1 + 4 + 14 + 136 + 419 + 92 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 204650367 + ... + 204651057.

It is an arithmetic number, because the mean of its divisors is an integer number (1583318490).

Almost surely, 2^141413641992 is an apocalyptic number.

141413641992 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 141413641992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227997862560).

141413641992 is an abundant number, since it is smaller than the sum of its proper divisors (314582083128).

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

141413641992 is an frugal number, since it uses more digits than its factorization.

141413641992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1285 (or 1260 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The spelling of 141413641992 in words is "one hundred forty-one billion, four hundred thirteen million, six hundred forty-one thousand, nine hundred ninety-two".