158442338766096 has 960 divisors, whose sum is σ = 569136258662400. Its totient is φ = 39955120128000.

The previous prime is 158442338766091. The next prime is 158442338766119. The reversal of 158442338766096 is 690667833244851.

It is a happy number.

158442338766096 is a `hidden beast` number, since 1 + 5 + 8 + 4 + 4 + 2 + 3 + 3 + 8 + 7 + 6 + 609 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (158442338766091) by changing a digit.

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, 110876373510 + ... + 110876374938.

It is an arithmetic number, because the mean of its divisors is an integer number (592850269440).

It is a 1-persistent number, because it is pandigital, but 2⋅158442338766096 = 316884677532192 is not.

Almost surely, 2^{158442338766096} is an apocalyptic number.

158442338766096 is a gapful number since it is divisible by the number (16) 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 158442338766096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284568129331200).

158442338766096 is an abundant number, since it is smaller than the sum of its proper divisors (410693919896304).

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

158442338766096 is a wasteful number, since it uses less digits than its factorization.

158442338766096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3068 (or 3059 counting only the distinct ones).

The product of its (nonzero) digits is 1254113280, while the sum is 72.

The spelling of 158442338766096 in words is "one hundred fifty-eight trillion, four hundred forty-two billion, three hundred thirty-eight million, seven hundred sixty-six thousand, ninety-six".