30745518336 has 243 divisors, whose sum is σ = 96333258567. Its totient is φ = 9426493440.

The previous prime is 30745518277. The next prime is 30745518343. The reversal of 30745518336 is 63381554703.

The square root of 30745518336 is 175344.

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

30745518336 is a `hidden beast` number, since 30 + 74 + 5 + 518 + 3 + 36 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1348358400 + 29397159936 = 36720^2 + 171456^2 .

It is a junction number, because it is equal to n+sod(n) for n = 30745518291 and 30745518300.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 109414516 + ... + 109414796.

Almost surely, 2^30745518336 is an apocalyptic number.

30745518336 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

30745518336 is the 175344-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30745518336

30745518336 is an abundant number, since it is smaller than the sum of its proper divisors (65587740231).

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

30745518336 is an equidigital number, since it uses as much as digits as its factorization.

30745518336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 610 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

It can be divided in two parts, 30745 and 518336, that added together give a square (549081 = 741²).

The spelling of 30745518336 in words is "thirty billion, seven hundred forty-five million, five hundred eighteen thousand, three hundred thirty-six".