54456253434 has 96 divisors (see below), whose sum is σ = 130992675840. Its totient is φ = 16211210400.

The previous prime is 54456253433. The next prime is 54456253451. The reversal of 54456253434 is 43435265445.

54456253434 is a `hidden beast` number, since 5 + 4 + 4 + 562 + 53 + 4 + 34 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 54456253434.

It is not an unprimeable number, because it can be changed into a prime (54456253433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5022399 + ... + 5033229.

It is an arithmetic number, because the mean of its divisors is an integer number (1364507040).

Almost surely, 2^54456253434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54456253434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65496337920).

54456253434 is an abundant number, since it is smaller than the sum of its proper divisors (76536422406).

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

54456253434 is a wasteful number, since it uses less digits than its factorization.

54456253434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11296 (or 11293 counting only the distinct ones).

The product of its digits is 3456000, while the sum is 45.

The spelling of 54456253434 in words is "fifty-four billion, four hundred fifty-six million, two hundred fifty-three thousand, four hundred thirty-four".