146005663320 has 256 divisors, whose sum is σ = 532086796800. Its totient is φ = 35318177280.

The previous prime is 146005663289. The next prime is 146005663471. The reversal of 146005663320 is 23366500641.

146005663320 is a `hidden beast` number, since 1 + 4 + 60 + 0 + 566 + 3 + 32 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5534802 + ... + 5561118.

It is an arithmetic number, because the mean of its divisors is an integer number (2078464050).

Almost surely, 2^146005663320 is an apocalyptic number.

146005663320 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 146005663320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266043398400).

146005663320 is an abundant number, since it is smaller than the sum of its proper divisors (386081133480).

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

146005663320 is a wasteful number, since it uses less digits than its factorization.

146005663320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26815 (or 26805 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 146005663320 in words is "one hundred forty-six billion, five million, six hundred sixty-three thousand, three hundred twenty".