141163084800 has 528 divisors, whose sum is σ = 522682617600. Its totient is φ = 37332172800.

The previous prime is 141163084757. The next prime is 141163084801. The reversal of 141163084800 is 8480361141.

It is a happy number.

141163084800 is a `hidden beast` number, since 1 + 4 + 11 + 630 + 8 + 4 + 8 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141163084801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 90546421 + ... + 90547979.

It is an arithmetic number, because the mean of its divisors is an integer number (989929200).

Almost surely, 2^141163084800 is an apocalyptic number.

141163084800 is a gapful number since it is divisible by the number (10) 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 141163084800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261341308800).

141163084800 is an abundant number, since it is smaller than the sum of its proper divisors (381519532800).

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

141163084800 is a wasteful number, since it uses less digits than its factorization.

141163084800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1729 (or 1700 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 141163084800 in words is "one hundred forty-one billion, one hundred sixty-three million, eighty-four thousand, eight hundred".