158463816048000 has 640 divisors, whose sum is σ = 623159043249600. Its totient is φ = 39771305164800.

The previous prime is 158463816047993. The next prime is 158463816048007. The reversal of 158463816048000 is 840618364851.

158463816048000 is a `hidden beast` number, since 1 + 5 + 8 + 463 + 81 + 60 + 48 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (158463816047993) and next prime (158463816048007).

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×158463816048000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (158463816048007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 18435781 + ... + 25628219.

Almost surely, 2^{158463816048000} is an apocalyptic number.

158463816048000 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 158463816048000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311579521624800).

158463816048000 is an abundant number, since it is smaller than the sum of its proper divisors (464695227201600).

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

158463816048000 is an equidigital number, since it uses as much as digits as its factorization.

158463816048000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7192497 (or 7192466 counting only the distinct ones).

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

The spelling of 158463816048000 in words is "one hundred fifty-eight trillion, four hundred sixty-three billion, eight hundred sixteen million, forty-eight thousand".