34210146465 has 48 divisors (see below), whose sum is σ = 65292941376. Its totient is φ = 16431696000.

The previous prime is 34210146419. The next prime is 34210146493. The reversal of 34210146465 is 56464101243.

34210146465 is a `hidden beast` number, since 3 + 4 + 2 + 1 + 0 + 1 + 4 + 646 + 5 = 666.

It is not a de Polignac number, because 34210146465 - 2⁹ = 34210145953 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 269986 + ... + 375915.

It is an arithmetic number, because the mean of its divisors is an integer number (1360269612).

Almost surely, 2^34210146465 is an apocalyptic number.

It is an amenable number.

34210146465 is a deficient number, since it is larger than the sum of its proper divisors (31082794911).

34210146465 is a wasteful number, since it uses less digits than its factorization.

34210146465 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 646030 (or 646027 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 34210146465 in words is "thirty-four billion, two hundred ten million, one hundred forty-six thousand, four hundred sixty-five".