10145215312232 has 256 divisors, whose sum is σ = 26610750996480. Its totient is φ = 3497922662400.

The previous prime is 10145215312207. The next prime is 10145215312241. The reversal of 10145215312232 is 23221351254101.

10145215312232 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 63 ways as a sum of consecutive naturals, for example, 26371568 + ... + 26753504.

It is an arithmetic number, because the mean of its divisors is an integer number (103948246080).

Almost surely, 2^{10145215312232} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10145215312232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13305375498240).

10145215312232 is an abundant number, since it is smaller than the sum of its proper divisors (16465535684248).

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

10145215312232 is a wasteful number, since it uses less digits than its factorization.

10145215312232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382112 (or 382108 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 32.

Adding to 10145215312232 its reverse (23221351254101), we get a palindrome (33366566566333).

The spelling of 10145215312232 in words is "ten trillion, one hundred forty-five billion, two hundred fifteen million, three hundred twelve thousand, two hundred thirty-two".