146728491588 has 216 divisors, whose sum is σ = 452680859904. Its totient is φ = 39904099200.

The previous prime is 146728491587. The next prime is 146728491617. The reversal of 146728491588 is 885194827641.

146728491588 is a `hidden beast` number, since 1 + 4 + 6 + 7 + 2 + 8 + 49 + 1 + 588 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (146728491587) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3313731 + ... + 3357717.

Almost surely, 2^146728491588 is an apocalyptic number.

146728491588 is a gapful number since it is divisible by the number (18) 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 146728491588, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226340429952).

146728491588 is an abundant number, since it is smaller than the sum of its proper divisors (305952368316).

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

146728491588 is a wasteful number, since it uses less digits than its factorization.

146728491588 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44103 (or 44091 counting only the distinct ones).

The product of its digits is 30965760, while the sum is 63.

The spelling of 146728491588 in words is "one hundred forty-six billion, seven hundred twenty-eight million, four hundred ninety-one thousand, five hundred eighty-eight".