146628387360 has 576 divisors, whose sum is σ = 618261396480. Its totient is φ = 30815354880.

The previous prime is 146628387359. The next prime is 146628387407. The reversal of 146628387360 is 63783826641.

146628387360 is a `hidden beast` number, since 1 + 4 + 6 + 628 + 3 + 8 + 7 + 3 + 6 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 146628387297 and 146628387306.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 35509776 + ... + 35513904.

It is an arithmetic number, because the mean of its divisors is an integer number (1073370480).

Almost surely, 2^146628387360 is an apocalyptic number.

146628387360 is a gapful number since it is divisible by the number (10) 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 146628387360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309130698240).

146628387360 is an abundant number, since it is smaller than the sum of its proper divisors (471633009120).

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

146628387360 is a wasteful number, since it uses less digits than its factorization.

146628387360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4441 (or 4430 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 146628387360 in words is "one hundred forty-six billion, six hundred twenty-eight million, three hundred eighty-seven thousand, three hundred sixty".