34360243506141 has 48 divisors (see below), whose sum is σ = 55546685595648. Its totient is φ = 18816579784800.

The previous prime is 34360243506107. The next prime is 34360243506163. The reversal of 34360243506141 is 14160534206343.

It is not a de Polignac number, because 34360243506141 - 2¹⁵ = 34360243473373 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34360243506093 and 34360243506102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34360243506191) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36133065 + ... + 37071806.

It is an arithmetic number, because the mean of its divisors is an integer number (1157222616576).

Almost surely, 2^{34360243506141} is an apocalyptic number.

34360243506141 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

34360243506141 is a deficient number, since it is larger than the sum of its proper divisors (21186442089507).

34360243506141 is a wasteful number, since it uses less digits than its factorization.

34360243506141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73205022 (or 73205015 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 42.

The spelling of 34360243506141 in words is "thirty-four trillion, three hundred sixty billion, two hundred forty-three million, five hundred six thousand, one hundred forty-one".