30455217216 has 504 divisors, whose sum is σ = 97634922840. Its totient is φ = 9405849600.

The previous prime is 30455217203. The next prime is 30455217269. The reversal of 30455217216 is 61271255403.

30455217216 is a `hidden beast` number, since 30 + 4 + 552 + 1 + 72 + 1 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 967458816 + 29487758400 = 31104^2 + 171720^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 499265826 + ... + 499265886.

It is an arithmetic number, because the mean of its divisors is an integer number (193720085).

Almost surely, 2^30455217216 is an apocalyptic number.

30455217216 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 30455217216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48817461420).

30455217216 is an abundant number, since it is smaller than the sum of its proper divisors (67179705624).

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

30455217216 is an frugal number, since it uses more digits than its factorization.

30455217216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 30455217216 in words is "thirty billion, four hundred fifty-five million, two hundred seventeen thousand, two hundred sixteen".