34535412450 has 384 divisors, whose sum is σ = 125631959040. Its totient is φ = 6753715200.

The previous prime is 34535412449. The next prime is 34535412463. The reversal of 34535412450 is 5421453543.

34535412450 is a `hidden beast` number, since 3 + 45 + 3 + 541 + 24 + 50 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1757379 + ... + 1776921.

It is an arithmetic number, because the mean of its divisors is an integer number (327166560).

Almost surely, 2^34535412450 is an apocalyptic number.

34535412450 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 34535412450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62815979520).

34535412450 is an abundant number, since it is smaller than the sum of its proper divisors (91096546590).

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

34535412450 is a wasteful number, since it uses less digits than its factorization.

34535412450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19599 (or 19588 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

Adding to 34535412450 its reverse (5421453543), we get a palindrome (39956865993).

It can be divided in two parts, 34535 and 412450, that added together give a triangular number (446985 = T₉₄₅).

The spelling of 34535412450 in words is "thirty-four billion, five hundred thirty-five million, four hundred twelve thousand, four hundred fifty".