54948339936 has 288 divisors, whose sum is σ = 181366069248. Its totient is φ = 15456199680.

The previous prime is 54948339931. The next prime is 54948339961. The reversal of 54948339936 is 63993384945.

54948339936 is a `hidden beast` number, since 5 + 494 + 83 + 39 + 9 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54948339931) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 90524145 + ... + 90524751.

It is an arithmetic number, because the mean of its divisors is an integer number (629743296).

Almost surely, 2^54948339936 is an apocalyptic number.

54948339936 is a gapful number since it is divisible by the number (56) 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 54948339936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90683034624).

54948339936 is an abundant number, since it is smaller than the sum of its proper divisors (126417729312).

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

54948339936 is a wasteful number, since it uses less digits than its factorization.

54948339936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1254 (or 1243 counting only the distinct ones).

The product of its digits is 75582720, while the sum is 63.

The spelling of 54948339936 in words is "fifty-four billion, nine hundred forty-eight million, three hundred thirty-nine thousand, nine hundred thirty-six".