34481135745 has 48 divisors (see below), whose sum is σ = 71275306752. Its totient is φ = 15077462400.

The previous prime is 34481135681. The next prime is 34481135813. The reversal of 34481135745 is 54753118443.

34481135745 is a `hidden beast` number, since 3 + 448 + 1 + 135 + 74 + 5 = 666.

It is not a de Polignac number, because 34481135745 - 2⁶ = 34481135681 is a prime.

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 34481135745.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2372406 + ... + 2386895.

It is an arithmetic number, because the mean of its divisors is an integer number (1484902224).

Almost surely, 2^34481135745 is an apocalyptic number.

34481135745 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

34481135745 is an abundant number, since it is smaller than the sum of its proper divisors (36794171007).

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

34481135745 is a wasteful number, since it uses less digits than its factorization.

34481135745 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4759342 (or 4759339 counting only the distinct ones).

The product of its digits is 806400, while the sum is 45.

The spelling of 34481135745 in words is "thirty-four billion, four hundred eighty-one million, one hundred thirty-five thousand, seven hundred forty-five".