23229300093440 has 640 divisors, whose sum is σ = 71404412682240. Its totient is φ = 7063438491648.

The previous prime is 23229300093427. The next prime is 23229300093457. The reversal of 23229300093440 is 4439000392232.

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

It is a super-3 number, since 3×23229300093440³ (a number of 41 digits) contains 333 as substring.

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 63 ways as a sum of consecutive naturals, for example, 368027324 + ... + 368090436.

It is an arithmetic number, because the mean of its divisors is an integer number (111569394816).

Almost surely, 2^{23229300093440} is an apocalyptic number.

23229300093440 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 23229300093440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35702206341120).

23229300093440 is an abundant number, since it is smaller than the sum of its proper divisors (48175112588800).

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

23229300093440 is a wasteful number, since it uses less digits than its factorization.

23229300093440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63232 (or 63216 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 41.

The spelling of 23229300093440 in words is "twenty-three trillion, two hundred twenty-nine billion, three hundred million, ninety-three thousand, four hundred forty".