306663424146432 has 352 divisors, whose sum is σ = 923279168217600. Its totient is φ = 100529823744000.

The previous prime is 306663424146403. The next prime is 306663424146433. The reversal of 306663424146432 is 234641424366603.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (306663424146433) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 786971419 + ... + 787360997.

Almost surely, 2^{306663424146432} is an apocalyptic number.

306663424146432 is a gapful number since it is divisible by the number (32) 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 306663424146432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461639584108800).

306663424146432 is an abundant number, since it is smaller than the sum of its proper divisors (616615744071168).

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

306663424146432 is a wasteful number, since it uses less digits than its factorization.

306663424146432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390080 (or 390056 counting only the distinct ones).

The product of its (nonzero) digits is 35831808, while the sum is 54.

The spelling of 306663424146432 in words is "three hundred six trillion, six hundred sixty-three billion, four hundred twenty-four million, one hundred forty-six thousand, four hundred thirty-two".