30561216414064 has 80 divisors (see below), whose sum is σ = 71679276893376. Its totient is φ = 12322508083200.

The previous prime is 30561216414061. The next prime is 30561216414067. The reversal of 30561216414064 is 46041461216503.

It is an interprime number because it is at equal distance from previous prime (30561216414061) and next prime (30561216414067).

It is a self number, because there is not a number n which added to its sum of digits gives 30561216414064.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30561216414061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1928374 + ... + 8052394.

Almost surely, 2^{30561216414064} is an apocalyptic number.

30561216414064 is a gapful number since it is divisible by the number (34) 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 30561216414064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35839638446688).

30561216414064 is an abundant number, since it is smaller than the sum of its proper divisors (41118060479312).

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

30561216414064 is a wasteful number, since it uses less digits than its factorization.

30561216414064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6126674 (or 6126668 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 43.

The spelling of 30561216414064 in words is "thirty trillion, five hundred sixty-one billion, two hundred sixteen million, four hundred fourteen thousand, sixty-four".