54791345808 has 600 divisors, whose sum is σ = 178340694840. Its totient is φ = 16198963200.

The previous prime is 54791345803. The next prime is 54791345809. The reversal of 54791345808 is 80854319745.

54791345808 is a `hidden beast` number, since 5 + 47 + 9 + 13 + 4 + 580 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6456443904 + 48334901904 = 80352^2 + 219852^2 .

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (54791345801) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1336374268 + ... + 1336374308.

Almost surely, 2^54791345808 is an apocalyptic number.

54791345808 is a gapful number since it is divisible by the number (58) 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 54791345808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89170347420).

54791345808 is an abundant number, since it is smaller than the sum of its proper divisors (123549349032).

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

54791345808 is a wasteful number, since it uses less digits than its factorization.

54791345808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 54791345808 in words is "fifty-four billion, seven hundred ninety-one million, three hundred forty-five thousand, eight hundred eight".