10114289805552 has 160 divisors (see below), whose sum is σ = 27743334312960. Its totient is φ = 3164195758080.

The previous prime is 10114289805547. The next prime is 10114289805601. The reversal of 10114289805552 is 25550898241101.

It is a super-2 number, since 2×10114289805552² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a junction number, because it is equal to n+sod(n) for n = 10114289805495 and 10114289805504.

It is a congruent number.

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, 1649693527 + ... + 1649699657.

It is an arithmetic number, because the mean of its divisors is an integer number (173395839456).

Almost surely, 2^{10114289805552} is an apocalyptic number.

10114289805552 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 10114289805552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13871667156480).

10114289805552 is an abundant number, since it is smaller than the sum of its proper divisors (17629044507408).

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

10114289805552 is a wasteful number, since it uses less digits than its factorization.

10114289805552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11511 (or 11505 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 51.

The spelling of 10114289805552 in words is "ten trillion, one hundred fourteen billion, two hundred eighty-nine million, eight hundred five thousand, five hundred fifty-two".