34221162465 has 96 divisors (see below), whose sum is σ = 70595366400. Its totient is φ = 15003878400.

The previous prime is 34221162463. The next prime is 34221162487. The reversal of 34221162465 is 56426112243.

34221162465 is a `hidden beast` number, since 3 + 4 + 2 + 21 + 1 + 624 + 6 + 5 = 666.

It is not a de Polignac number, because 34221162465 - 2¹ = 34221162463 is a prime.

It is not an unprimeable number, because it can be changed into a prime (34221162463) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1366981 + ... + 1391789.

It is an arithmetic number, because the mean of its divisors is an integer number (735368400).

Almost surely, 2^34221162465 is an apocalyptic number.

34221162465 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

34221162465 is an abundant number, since it is smaller than the sum of its proper divisors (36374203935).

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

34221162465 is a wasteful number, since it uses less digits than its factorization.

34221162465 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25007 (or 25004 counting only the distinct ones).

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

The spelling of 34221162465 in words is "thirty-four billion, two hundred twenty-one million, one hundred sixty-two thousand, four hundred sixty-five".