145827244584 has 288 divisors, whose sum is σ = 499218220800. Its totient is φ = 38198200320.

The previous prime is 145827244571. The next prime is 145827244601. The reversal of 145827244584 is 485442728541.

145827244584 is a `hidden beast` number, since 1 + 4 + 58 + 2 + 7 + 2 + 4 + 4 + 584 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 145827244584.

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, 2042904 + ... + 2113080.

It is an arithmetic number, because the mean of its divisors is an integer number (1733396600).

Almost surely, 2^145827244584 is an apocalyptic number.

145827244584 is a gapful number since it is divisible by the number (14) 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 145827244584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249609110400).

145827244584 is an abundant number, since it is smaller than the sum of its proper divisors (353390976216).

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

145827244584 is a wasteful number, since it uses less digits than its factorization.

145827244584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70253 (or 70239 counting only the distinct ones).

The product of its digits is 11468800, while the sum is 54.

The spelling of 145827244584 in words is "one hundred forty-five billion, eight hundred twenty-seven million, two hundred forty-four thousand, five hundred eighty-four".