23445727272 has 192 divisors, whose sum is σ = 70761600000. Its totient is φ = 6953040000.

The previous prime is 23445727247. The next prime is 23445727297. The reversal of 23445727272 is 27272754432.

23445727272 is a `hidden beast` number, since 2 + 3 + 4 + 4 + 572 + 7 + 2 + 72 = 666.

It is an interprime number because it is at equal distance from previous prime (23445727247) and next prime (23445727297).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11727729 + ... + 11729727.

It is an arithmetic number, because the mean of its divisors is an integer number (368550000).

Almost surely, 2^23445727272 is an apocalyptic number.

23445727272 is a gapful number since it is divisible by the number (22) 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 23445727272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35380800000).

23445727272 is an abundant number, since it is smaller than the sum of its proper divisors (47315872728).

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

23445727272 is a wasteful number, since it uses less digits than its factorization.

23445727272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2332 (or 2325 counting only the distinct ones).

The product of its digits is 1317120, while the sum is 45.

It can be divided in two parts, 234457272 and 72, that added together give a square (234457344 = 15312²).

The spelling of 23445727272 in words is "twenty-three billion, four hundred forty-five million, seven hundred twenty-seven thousand, two hundred seventy-two".