23630328128064 has 224 divisors, whose sum is σ = 71703071606016. Its totient is φ = 6727992606720.

The previous prime is 23630328128053. The next prime is 23630328128087. The reversal of 23630328128064 is 46082182303632.

It is a tau number, because it is divible by the number of its divisors (224).

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 448596832 + ... + 448649504.

Almost surely, 2^{23630328128064} is an apocalyptic number.

23630328128064 is a gapful number since it is divisible by the number (24) 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 23630328128064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35851535803008).

23630328128064 is an abundant number, since it is smaller than the sum of its proper divisors (48072743477952).

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

23630328128064 is a wasteful number, since it uses less digits than its factorization.

23630328128064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53853 (or 53843 counting only the distinct ones).

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

The spelling of 23630328128064 in words is "twenty-three trillion, six hundred thirty billion, three hundred twenty-eight million, one hundred twenty-eight thousand, sixty-four".