10114404343319 has 64 divisors (see below), whose sum is σ = 11217706536960. Its totient is φ = 9083246376960.

The previous prime is 10114404343291. The next prime is 10114404343339. The reversal of 10114404343319 is 91334340441101.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 10114404343319 - 2³² = 10110109376023 is a prime.

It is a super-2 number, since 2×10114404343319² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10114404343339) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3052942607 + ... + 3052945919.

It is an arithmetic number, because the mean of its divisors is an integer number (175276664640).

Almost surely, 2^{10114404343319} is an apocalyptic number.

10114404343319 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

10114404343319 is a deficient number, since it is larger than the sum of its proper divisors (1103302193641).

10114404343319 is a wasteful number, since it uses less digits than its factorization.

10114404343319 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3960.

The product of its (nonzero) digits is 62208, while the sum is 38.

The spelling of 10114404343319 in words is "ten trillion, one hundred fourteen billion, four hundred four million, three hundred forty-three thousand, three hundred nineteen".