23433467904 has 864 divisors, whose sum is σ = 90627264000. Its totient is φ = 5693276160.

The previous prime is 23433467807. The next prime is 23433467969. The reversal of 23433467904 is 40976433432.

23433467904 is a `hidden beast` number, since 234 + 3 + 346 + 79 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 23433467904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 296626137 + ... + 296626215.

Almost surely, 2^23433467904 is an apocalyptic number.

23433467904 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 23433467904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45313632000).

23433467904 is an abundant number, since it is smaller than the sum of its proper divisors (67193796096).

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

23433467904 is a wasteful number, since it uses less digits than its factorization.

23433467904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 45.

The spelling of 23433467904 in words is "twenty-three billion, four hundred thirty-three million, four hundred sixty-seven thousand, nine hundred four".