158616450720 has 1152 divisors, whose sum is σ = 704711508480. Its totient is φ = 32606945280.

The previous prime is 158616450719. The next prime is 158616450743. The reversal of 158616450720 is 27054616851.

158616450720 is a `hidden beast` number, since 1 + 5 + 8 + 61 + 64 + 507 + 20 = 666.

158616450720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×158616450720⁴ (a number of 46 digits) contains 4444 as substring.

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 Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 209532582 + ... + 209533338.

It is an arithmetic number, because the mean of its divisors is an integer number (611728740).

Almost surely, 2^158616450720 is an apocalyptic number.

158616450720 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 158616450720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352355754240).

158616450720 is an abundant number, since it is smaller than the sum of its proper divisors (546095057760).

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

158616450720 is a wasteful number, since it uses less digits than its factorization.

158616450720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 855 (or 828 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 158616450720 in words is "one hundred fifty-eight billion, six hundred sixteen million, four hundred fifty thousand, seven hundred twenty".