146384290404 has 405 divisors, whose sum is σ = 446775907305. Its totient is φ = 40402771200.

The previous prime is 146384290397. The next prime is 146384290411. The reversal of 146384290404 is 404092483641.

The square root of 146384290404 is 382602.

It is a perfect power (a square), and thus also a powerful number.

146384290404 is a `hidden beast` number, since 1 + 4 + 638 + 4 + 2 + 9 + 0 + 4 + 0 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (146384290397) and next prime (146384290411).

It can be written as a sum of positive squares in only one way, i.e., 113967008100 + 32417282304 = 337590^2 + 180048^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 146384290404.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 4722073869 + ... + 4722073899.

Almost surely, 2^146384290404 is an apocalyptic number.

146384290404 is the 382602-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146384290404

146384290404 is an abundant number, since it is smaller than the sum of its proper divisors (300391616901).

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

146384290404 is a wasteful number, since it uses less digits than its factorization.

146384290404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 146384290404 in words is "one hundred forty-six billion, three hundred eighty-four million, two hundred ninety thousand, four hundred four".