158466484800 has 504 divisors, whose sum is σ = 609773300136. Its totient is φ = 38800097280.

The previous prime is 158466484751. The next prime is 158466484807. The reversal of 158466484800 is 8484664851.

It is a happy number.

158466484800 is a `hidden beast` number, since 1 + 5 + 84 + 6 + 6 + 484 + 80 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 22977709056 + 135488775744 = 151584^2 + 368088^2 .

It is a super-2 number, since 2×158466484800² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (158466484807) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 36876252 + ... + 36880548.

It is an arithmetic number, because the mean of its divisors is an integer number (1209867659).

Almost surely, 2^158466484800 is an apocalyptic number.

158466484800 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 158466484800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304886650068).

158466484800 is an abundant number, since it is smaller than the sum of its proper divisors (451306815336).

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

158466484800 is a wasteful number, since it uses less digits than its factorization.

158466484800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4535 (or 4517 counting only the distinct ones).

The product of its (nonzero) digits is 5898240, while the sum is 54.

The spelling of 158466484800 in words is "one hundred fifty-eight billion, four hundred sixty-six million, four hundred eighty-four thousand, eight hundred".