23225073117984 has 576 divisors, whose sum is σ = 70520263317504. Its totient is φ = 7241654827008.

The previous prime is 23225073117929. The next prime is 23225073117991. The reversal of 23225073117984 is 48971137052232.

23225073117984 is a `hidden beast` number, since 2 + 3 + 2 + 2 + 507 + 31 + 17 + 98 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 23225073117984.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5169166042 + ... + 5169170534.

It is an arithmetic number, because the mean of its divisors is an integer number (122431012704).

Almost surely, 2^{23225073117984} is an apocalyptic number.

23225073117984 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 23225073117984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35260131658752).

23225073117984 is an abundant number, since it is smaller than the sum of its proper divisors (47295190199520).

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

23225073117984 is a wasteful number, since it uses less digits than its factorization.

23225073117984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4789 (or 4778 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 23225073117984 in words is "twenty-three trillion, two hundred twenty-five billion, seventy-three million, one hundred seventeen thousand, nine hundred eighty-four".