34451361153 has 48 divisors (see below), whose sum is σ = 57617217280. Its totient is φ = 20315227680.

The previous prime is 34451361143. The next prime is 34451361157. The reversal of 34451361153 is 35116315443.

34451361153 is a `hidden beast` number, since 3 + 445 + 1 + 3 + 61 + 153 = 666.

It is not a de Polignac number, because 34451361153 - 2⁴ = 34451361137 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34451361157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21625 + ... + 263382.

Almost surely, 2^34451361153 is an apocalyptic number.

34451361153 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

34451361153 is a deficient number, since it is larger than the sum of its proper divisors (23165856127).

34451361153 is a wasteful number, since it uses less digits than its factorization.

34451361153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285075 (or 285058 counting only the distinct ones).

The product of its digits is 64800, while the sum is 36.

Adding to 34451361153 its reverse (35116315443), we get a palindrome (69567676596).

The spelling of 34451361153 in words is "thirty-four billion, four hundred fifty-one million, three hundred sixty-one thousand, one hundred fifty-three".