158340948480000 has 4680 divisors, whose sum is σ = 719123034173544. Its totient is φ = 33218887680000.

The previous prime is 158340948479993. The next prime is 158340948480041. The reversal of 158340948480000 is 84849043851.

It is a happy number.

158340948480000 is a `hidden beast` number, since 1 + 5 + 83 + 4 + 0 + 9 + 484 + 80 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 20 ways, for example, as 135275136454656 + 23065812025344 = 11630784^2 + 4802688^2 .

It is a tau number, because it is divible by the number of its divisors (4680).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 616112639872 + ... + 616112640128.

Almost surely, 2^{158340948480000} is an apocalyptic number.

158340948480000 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 158340948480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359561517086772).

158340948480000 is an abundant number, since it is smaller than the sum of its proper divisors (560782085693544).

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

158340948480000 is a wasteful number, since it uses less digits than its factorization.

158340948480000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 158340948480000 in words is "one hundred fifty-eight trillion, three hundred forty billion, nine hundred forty-eight million, four hundred eighty thousand".