145869584112 has 360 divisors, whose sum is σ = 487014235344. Its totient is φ = 40622819328.

The previous prime is 145869584071. The next prime is 145869584129. The reversal of 145869584112 is 211485968541.

145869584112 is a `hidden beast` number, since 1 + 4 + 58 + 6 + 9 + 584 + 1 + 1 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 60955588 + ... + 60957980.

Almost surely, 2^145869584112 is an apocalyptic number.

145869584112 is a gapful number since it is divisible by the number (12) 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 145869584112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243507117672).

145869584112 is an abundant number, since it is smaller than the sum of its proper divisors (341144651232).

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

145869584112 is a wasteful number, since it uses less digits than its factorization.

145869584112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2637 (or 2621 counting only the distinct ones).

The product of its digits is 2764800, while the sum is 54.

The spelling of 145869584112 in words is "one hundred forty-five billion, eight hundred sixty-nine million, five hundred eighty-four thousand, one hundred twelve".