141238383664896 has 864 divisors, whose sum is σ = 500600636874240. Its totient is φ = 38468372152320.

The previous prime is 141238383664771. The next prime is 141238383664993. The reversal of 141238383664896 is 698466383832141.

It is a happy number.

141238383664896 is a `hidden beast` number, since 1 + 4 + 1 + 2 + 3 + 8 + 3 + 83 + 66 + 489 + 6 = 666.

141238383664896 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 super-2 number, since 2×141238383664896² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3115277940 + ... + 3115323276.

Almost surely, 2^{141238383664896} is an apocalyptic number.

141238383664896 is a gapful number since it is divisible by the number (16) 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 141238383664896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250300318437120).

141238383664896 is an abundant number, since it is smaller than the sum of its proper divisors (359362253209344).

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

141238383664896 is an equidigital number, since it uses as much as digits as its factorization.

141238383664896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45498 (or 45447 counting only the distinct ones).

The product of its digits is 859963392, while the sum is 72.

The spelling of 141238383664896 in words is "one hundred forty-one trillion, two hundred thirty-eight billion, three hundred eighty-three million, six hundred sixty-four thousand, eight hundred ninety-six".