10114330025352 has 128 divisors (see below), whose sum is σ = 29065899663360. Its totient is φ = 2873061342720.

The previous prime is 10114330025287. The next prime is 10114330025357. The reversal of 10114330025352 is 25352003341101.

It is not an unprimeable number, because it can be changed into a prime (10114330025357) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28332723 + ... + 28687485.

It is an arithmetic number, because the mean of its divisors is an integer number (227077341120).

Almost surely, 2^{10114330025352} is an apocalyptic number.

10114330025352 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 10114330025352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14532949831680).

10114330025352 is an abundant number, since it is smaller than the sum of its proper divisors (18951569638008).

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

10114330025352 is a wasteful number, since it uses less digits than its factorization.

10114330025352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355763 (or 355759 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

Adding to 10114330025352 its reverse (25352003341101), we get a palindrome (35466333366453).

The spelling of 10114330025352 in words is "ten trillion, one hundred fourteen billion, three hundred thirty million, twenty-five thousand, three hundred fifty-two".