34540455456 has 144 divisors (see below), whose sum is σ = 109698249024. Its totient is φ = 10627801344.

The previous prime is 34540455437. The next prime is 34540455463. The reversal of 34540455456 is 65455404543.

34540455456 is a `hidden beast` number, since 3 + 4 + 5 + 40 + 4 + 554 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69756 + ... + 271931.

It is an arithmetic number, because the mean of its divisors is an integer number (761793396).

Almost surely, 2^34540455456 is an apocalyptic number.

34540455456 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

34540455456 is an abundant number, since it is smaller than the sum of its proper divisors (75157793568).

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

34540455456 is a wasteful number, since it uses less digits than its factorization.

34540455456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341725 (or 341705 counting only the distinct ones).

The product of its (nonzero) digits is 2880000, while the sum is 45.

Adding to 34540455456 its reverse (65455404543), we get a palindrome (99995859999).

The spelling of 34540455456 in words is "thirty-four billion, five hundred forty million, four hundred fifty-five thousand, four hundred fifty-six".