158430248640 has 336 divisors, whose sum is σ = 569806750656. Its totient is φ = 40327372800.

The previous prime is 158430248593. The next prime is 158430248653. The reversal of 158430248640 is 46842034851.

158430248640 is a `hidden beast` number, since 1 + 584 + 3 + 0 + 2 + 4 + 8 + 64 + 0 = 666.

158430248640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 47 ways as a sum of consecutive naturals, for example, 35833630 + ... + 35838050.

Almost surely, 2^158430248640 is an apocalyptic number.

158430248640 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 158430248640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284903375328).

158430248640 is an abundant number, since it is smaller than the sum of its proper divisors (411376502016).

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

158430248640 is a wasteful number, since it uses less digits than its factorization.

158430248640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5008 (or 4995 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 158430248640 in words is "one hundred fifty-eight billion, four hundred thirty million, two hundred forty-eight thousand, six hundred forty".