10345361152 has 144 divisors (see below), whose sum is σ = 25345861632. Its totient is φ = 4113285120.

The previous prime is 10345361141. The next prime is 10345361267. The reversal of 10345361152 is 25116354301.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2160553 + ... + 2165335.

It is an arithmetic number, because the mean of its divisors is an integer number (176012928).

Almost surely, 2^10345361152 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 10345361152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12672930816).

10345361152 is an abundant number, since it is smaller than the sum of its proper divisors (15000500480).

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

10345361152 is an equidigital number, since it uses as much as digits as its factorization.

10345361152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4894 (or 4880 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 31.

The spelling of 10345361152 in words is "ten billion, three hundred forty-five million, three hundred sixty-one thousand, one hundred fifty-two".