54644498382240 has 288 divisors, whose sum is σ = 200835489975120. Its totient is φ = 13449817571328.

The previous prime is 54644498382197. The next prime is 54644498382263. The reversal of 54644498382240 is 4228389444645.

It is a happy number.

54644498382240 is a `hidden beast` number, since 5 + 4 + 6 + 4 + 4 + 4 + 9 + 8 + 382 + 240 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 8655105105936 + 45989393276304 = 2941956^2 + 6781548^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 233377546 + ... + 233611574.

Almost surely, 2^{54644498382240} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54644498382240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100417744987560).

54644498382240 is an abundant number, since it is smaller than the sum of its proper divisors (146190991592880).

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

54644498382240 is a wasteful number, since it uses less digits than its factorization.

54644498382240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246536 (or 246525 counting only the distinct ones).

The product of its (nonzero) digits is 212336640, while the sum is 63.

The spelling of 54644498382240 in words is "fifty-four trillion, six hundred forty-four billion, four hundred ninety-eight million, three hundred eighty-two thousand, two hundred forty".