54845020944 has 800 divisors, whose sum is σ = 200040529920. Its totient is φ = 14164761600.

The previous prime is 54845020927. The next prime is 54845020973. The reversal of 54845020944 is 44902054845.

It is a happy number.

54845020944 is a `hidden beast` number, since 54 + 8 + 4 + 502 + 0 + 94 + 4 = 666.

It is a super-3 number, since 3×54845020944³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 54845020944.

It is an unprimeable number.

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 159 ways as a sum of consecutive naturals, for example, 394568427 + ... + 394568565.

Almost surely, 2^54845020944 is an apocalyptic number.

54845020944 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 54845020944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100020264960).

54845020944 is an abundant number, since it is smaller than the sum of its proper divisors (145195508976).

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

54845020944 is a wasteful number, since it uses less digits than its factorization.

54845020944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 54845020944 in words is "fifty-four billion, eight hundred forty-five million, twenty thousand, nine hundred forty-four".