30101004864 has 784 divisors, whose sum is σ = 109378626048. Its totient is φ = 8035282944.

The previous prime is 30101004859. The next prime is 30101004877. The reversal of 30101004864 is 46840010103.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 567943462 + ... + 567943514.

Almost surely, 2^30101004864 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 30101004864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54689313024).

30101004864 is an abundant number, since it is smaller than the sum of its proper divisors (79277621184).

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

30101004864 is an equidigital number, since it uses as much as digits as its factorization.

30101004864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 30101004864 its reverse (46840010103), we get a palindrome (76941014967).

The spelling of 30101004864 in words is "thirty billion, one hundred one million, four thousand, eight hundred sixty-four".