114435205004519 has 24 divisors (see below), whose sum is σ = 134732090994480. Its totient is φ = 96898530632064.

The previous prime is 114435205004509. The next prime is 114435205004531. The reversal of 114435205004519 is 915400502534411.

It is not a de Polignac number, because 114435205004519 - 2⁴⁰ = 113335693376743 is a prime.

It is a super-2 number, since 2×114435205004519² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 114435205004519.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114435205004509) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55572977 + ... + 57595365.

It is an arithmetic number, because the mean of its divisors is an integer number (5613837124770).

Almost surely, 2^{114435205004519} is an apocalyptic number.

114435205004519 is a deficient number, since it is larger than the sum of its proper divisors (20296885989961).

114435205004519 is a wasteful number, since it uses less digits than its factorization.

114435205004519 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2036399 (or 2036392 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 44.

The spelling of 114435205004519 in words is "one hundred fourteen trillion, four hundred thirty-five billion, two hundred five million, four thousand, five hundred nineteen".