54741433824 has 1152 divisors, whose sum is σ = 219650457600. Its totient is φ = 12933043200.

The previous prime is 54741433819. The next prime is 54741433849. The reversal of 54741433824 is 42833414745.

54741433824 is a `hidden beast` number, since 5 + 474 + 143 + 38 + 2 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 54741433824.

It is a congruent number.

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, 431034849 + ... + 431034975.

It is an arithmetic number, because the mean of its divisors is an integer number (190668800).

Almost surely, 2^54741433824 is an apocalyptic number.

54741433824 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54741433824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109825228800).

54741433824 is an abundant number, since it is smaller than the sum of its proper divisors (164909023776).

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

54741433824 is a wasteful number, since it uses less digits than its factorization.

54741433824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 200 counting only the distinct ones).

The product of its digits is 1290240, while the sum is 45.

The spelling of 54741433824 in words is "fifty-four billion, seven hundred forty-one million, four hundred thirty-three thousand, eight hundred twenty-four".