34482801465 has 64 divisors (see below), whose sum is σ = 70308403200. Its totient is φ = 15707742912.

The previous prime is 34482801443. The next prime is 34482801473. The reversal of 34482801465 is 56410828443.

34482801465 is a `hidden beast` number, since 34 + 4 + 82 + 80 + 1 + 465 = 666.

It is not a de Polignac number, because 34482801465 - 2¹² = 34482797369 is a prime.

It is a super-2 number, since 2×34482801465² (a number of 22 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 34482801465.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 202966 + ... + 331904.

It is an arithmetic number, because the mean of its divisors is an integer number (1098568800).

Almost surely, 2^34482801465 is an apocalyptic number.

34482801465 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

34482801465 is an abundant number, since it is smaller than the sum of its proper divisors (35825601735).

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

34482801465 is a wasteful number, since it uses less digits than its factorization.

34482801465 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129243 (or 129237 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 34482801465 in words is "thirty-four billion, four hundred eighty-two million, eight hundred one thousand, four hundred sixty-five".