305632385001216 has 2304 divisors, whose sum is σ = 1195553587200000. Its totient is φ = 74774246916096.

The previous prime is 305632385001199. The next prime is 305632385001257. The reversal of 305632385001216 is 612100583236503.

305632385001216 is a `hidden beast` number, since 3 + 0 + 5 + 632 + 3 + 8 + 5 + 0 + 0 + 1 + 2 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a super-2 number, since 2×305632385001216² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 119902856710 + ... + 119902859258.

Almost surely, 2^{305632385001216} is an apocalyptic number.

305632385001216 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 305632385001216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (597776793600000).

305632385001216 is an abundant number, since it is smaller than the sum of its proper divisors (889921202198784).

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

305632385001216 is a wasteful number, since it uses less digits than its factorization.

305632385001216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2819 (or 2799 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 305632385001216 in words is "three hundred five trillion, six hundred thirty-two billion, three hundred eighty-five million, one thousand, two hundred sixteen".