23174484480 has 640 divisors, whose sum is σ = 94939637760. Its totient is φ = 5248696320.

The previous prime is 23174484461. The next prime is 23174484481. The reversal of 23174484480 is 8448447132.

23174484480 is a `hidden beast` number, since 23 + 1 + 74 + 4 + 84 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (23174484481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 102090127 + ... + 102090353.

It is an arithmetic number, because the mean of its divisors is an integer number (148343184).

Almost surely, 2^23174484480 is an apocalyptic number.

23174484480 is a gapful number since it is divisible by the number (20) 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 23174484480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47469818880).

23174484480 is an abundant number, since it is smaller than the sum of its proper divisors (71765153280).

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

23174484480 is a wasteful number, since it uses less digits than its factorization.

23174484480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 45.

The spelling of 23174484480 in words is "twenty-three billion, one hundred seventy-four million, four hundred eighty-four thousand, four hundred eighty".