10223414132352 has 256 divisors, whose sum is σ = 28430771385600. Its totient is φ = 3248831725568.

The previous prime is 10223414132339. The next prime is 10223414132417. The reversal of 10223414132352 is 25323141432201.

It is a happy number.

10223414132352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4570143778 + ... + 4570146014.

It is an arithmetic number, because the mean of its divisors is an integer number (111057700725).

Almost surely, 2^{10223414132352} is an apocalyptic number.

10223414132352 is a gapful number since it is divisible by the number (12) 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 10223414132352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14215385692800).

10223414132352 is an abundant number, since it is smaller than the sum of its proper divisors (18207357253248).

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

10223414132352 is a wasteful number, since it uses less digits than its factorization.

10223414132352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3763 (or 3751 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

Adding to 10223414132352 its reverse (25323141432201), we get a palindrome (35546555564553).

The spelling of 10223414132352 in words is "ten trillion, two hundred twenty-three billion, four hundred fourteen million, one hundred thirty-two thousand, three hundred fifty-two".