34011441652014 has 24 divisors (see below), whose sum is σ = 74940464659320. Its totient is φ = 11144992179408.

The previous prime is 34011441651977. The next prime is 34011441652079. The reversal of 34011441652014 is 41025614411043.

34011441652014 is a `hidden beast` number, since 3 + 4 + 0 + 1 + 1 + 441 + 6 + 5 + 201 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 34011441652014.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16012918737 + ... + 16012920860.

It is an arithmetic number, because the mean of its divisors is an integer number (3122519360805).

Almost surely, 2^{34011441652014} is an apocalyptic number.

34011441652014 is an abundant number, since it is smaller than the sum of its proper divisors (40929023007306).

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

34011441652014 is a wasteful number, since it uses less digits than its factorization.

34011441652014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32025839664 (or 32025839661 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 34011441652014 in words is "thirty-four trillion, eleven billion, four hundred forty-one million, six hundred fifty-two thousand, fourteen".