342601128765 has 160 divisors (see below), whose sum is σ = 732677806080. Its totient is φ = 149859072000.

The previous prime is 342601128763. The next prime is 342601128791. The reversal of 342601128765 is 567821106243.

342601128765 is a `hidden beast` number, since 34 + 2 + 601 + 1 + 2 + 8 + 7 + 6 + 5 = 666.

It is not a de Polignac number, because 342601128765 - 2¹ = 342601128763 is a prime.

It is a super-2 number, since 2×342601128765² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 342601128765.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342601128763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 7799865 + ... + 7843665.

It is an arithmetic number, because the mean of its divisors is an integer number (4579236288).

Almost surely, 2^342601128765 is an apocalyptic number.

342601128765 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

342601128765 is an abundant number, since it is smaller than the sum of its proper divisors (390076677315).

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

342601128765 is a wasteful number, since it uses less digits than its factorization.

342601128765 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43945 (or 43936 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 342601128765 in words is "three hundred forty-two billion, six hundred one million, one hundred twenty-eight thousand, seven hundred sixty-five".