30644456128 has 336 divisors, whose sum is σ = 77998584160. Its totient is φ = 11824496640.

The previous prime is 30644456123. The next prime is 30644456131. The reversal of 30644456128 is 82165444603.

It is a super-3 number, since 3×30644456128³ (a number of 32 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (30644456123) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 70772200 + ... + 70772632.

Almost surely, 2^30644456128 is an apocalyptic number.

30644456128 is a gapful number since it is divisible by the number (38) 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 30644456128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38999292080).

30644456128 is an abundant number, since it is smaller than the sum of its proper divisors (47354128032).

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

30644456128 is a wasteful number, since it uses less digits than its factorization.

30644456128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 43.

The spelling of 30644456128 in words is "thirty billion, six hundred forty-four million, four hundred fifty-six thousand, one hundred twenty-eight".