158442267456 has 672 divisors, whose sum is σ = 538204867200. Its totient is φ = 45775134720.

The previous prime is 158442267413. The next prime is 158442267457. The reversal of 158442267456 is 654762244851.

158442267456 is a `hidden beast` number, since 1 + 584 + 4 + 2 + 2 + 6 + 7 + 4 + 56 = 666.

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 (158442267457) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 540758446 + ... + 540758738.

It is an arithmetic number, because the mean of its divisors is an integer number (800900100).

Almost surely, 2^158442267456 is an apocalyptic number.

158442267456 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 158442267456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269102433600).

158442267456 is an abundant number, since it is smaller than the sum of its proper divisors (379762599744).

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

158442267456 is a wasteful number, since it uses less digits than its factorization.

158442267456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469 (or 447 counting only the distinct ones).

The product of its digits is 12902400, while the sum is 54.

The spelling of 158442267456 in words is "one hundred fifty-eight billion, four hundred forty-two million, two hundred sixty-seven thousand, four hundred fifty-six".