10114000034144 has 48 divisors (see below), whose sum is σ = 19923416957808. Its totient is φ = 5054085476352.

The previous prime is 10114000034107. The next prime is 10114000034147. The reversal of 10114000034144 is 44143000041101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10114000034147) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 578033204 + ... + 578050700.

It is an arithmetic number, because the mean of its divisors is an integer number (415071186621).

Almost surely, 2^{10114000034144} is an apocalyptic number.

It is an amenable number.

10114000034144 is a deficient number, since it is larger than the sum of its proper divisors (9809416923664).

10114000034144 is a wasteful number, since it uses less digits than its factorization.

10114000034144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26887 (or 26879 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 10114000034144 its reverse (44143000041101), we get a palindrome (54257000075245).

The spelling of 10114000034144 in words is "ten trillion, one hundred fourteen billion, thirty-four thousand, one hundred forty-four".