305255212416 has 512 divisors, whose sum is σ = 1159498137600. Its totient is φ = 76727347200.

The previous prime is 305255212373. The next prime is 305255212421. The reversal of 305255212416 is 614212552503.

305255212416 is a `hidden beast` number, since 3 + 0 + 5 + 25 + 5 + 212 + 416 = 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, 8230971 + ... + 8267973.

It is an arithmetic number, because the mean of its divisors is an integer number (2264644800).

Almost surely, 2^305255212416 is an apocalyptic number.

305255212416 is a gapful number since it is divisible by the number (36) 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 305255212416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579749068800).

305255212416 is an abundant number, since it is smaller than the sum of its proper divisors (854242925184).

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

305255212416 is a wasteful number, since it uses less digits than its factorization.

305255212416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37075 (or 37057 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

Adding to 305255212416 its reverse (614212552503), we get a palindrome (919467764919).

The spelling of 305255212416 in words is "three hundred five billion, two hundred fifty-five million, two hundred twelve thousand, four hundred sixteen".