34248374346165 has 128 divisors (see below), whose sum is σ = 64446029512704. Its totient is φ = 15204879360000.

The previous prime is 34248374346133. The next prime is 34248374346181. The reversal of 34248374346165 is 56164347384243.

It is not a de Polignac number, because 34248374346165 - 2⁵ = 34248374346133 is a prime.

It is a super-2 number, since 2×34248374346165² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34248374346099 and 34248374346108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1401140434 + ... + 1401164876.

It is an arithmetic number, because the mean of its divisors is an integer number (503484605568).

Almost surely, 2^{34248374346165} is an apocalyptic number.

34248374346165 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

34248374346165 is a deficient number, since it is larger than the sum of its proper divisors (30197655166539).

34248374346165 is a wasteful number, since it uses less digits than its factorization.

34248374346165 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25971.

The product of its digits is 139345920, while the sum is 60.

The spelling of 34248374346165 in words is "thirty-four trillion, two hundred forty-eight billion, three hundred seventy-four million, three hundred forty-six thousand, one hundred sixty-five".