34533135546 has 64 divisors (see below), whose sum is σ = 85144136448. Its totient is φ = 9092694528.

The previous prime is 34533135541. The next prime is 34533135547. The reversal of 34533135546 is 64553133543.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 34533135498 and 34533135507.

It is not an unprimeable number, because it can be changed into a prime (34533135541) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 283110 + ... + 386286.

It is an arithmetic number, because the mean of its divisors is an integer number (1330377132).

Almost surely, 2^34533135546 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34533135546, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42572068224).

34533135546 is an abundant number, since it is smaller than the sum of its proper divisors (50611000902).

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

34533135546 is a wasteful number, since it uses less digits than its factorization.

34533135546 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103815.

The product of its digits is 972000, while the sum is 42.

The spelling of 34533135546 in words is "thirty-four billion, five hundred thirty-three million, one hundred thirty-five thousand, five hundred forty-six".