10144513400052 has 24 divisors (see below), whose sum is σ = 25062915459456. Its totient is φ = 3182592439168.

The previous prime is 10144513400041. The next prime is 10144513400053. The reversal of 10144513400052 is 25000431544101.

It is a super-2 number, since 2×10144513400052² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10144513399992 and 10144513400019.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10144513400053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24864003228 + ... + 24864003635.

It is an arithmetic number, because the mean of its divisors is an integer number (1044288144144).

Almost surely, 2^{10144513400052} is an apocalyptic number.

10144513400052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10144513400052 is an abundant number, since it is smaller than the sum of its proper divisors (14918402059404).

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

10144513400052 is a wasteful number, since it uses less digits than its factorization.

10144513400052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49728006887 (or 49728006885 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

Adding to 10144513400052 its reverse (25000431544101), we get a palindrome (35144944944153).

The spelling of 10144513400052 in words is "ten trillion, one hundred forty-four billion, five hundred thirteen million, four hundred thousand, fifty-two".