30642481223616 has 168 divisors, whose sum is σ = 85796055762384. Its totient is φ = 9650622320640.

The previous prime is 30642481223609. The next prime is 30642481223621. The reversal of 30642481223616 is 61632218424603.

It is a happy number.

It is a super-2 number, since 2×30642481223616² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 25260756 + ... + 26445996.

Almost surely, 2^{30642481223616} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30642481223616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42898027881192).

30642481223616 is an abundant number, since it is smaller than the sum of its proper divisors (55153574538768).

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

30642481223616 is a wasteful number, since it uses less digits than its factorization.

30642481223616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1185667 (or 1185638 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 48.

The spelling of 30642481223616 in words is "thirty trillion, six hundred forty-two billion, four hundred eighty-one million, two hundred twenty-three thousand, six hundred sixteen".