54461389248 has 336 divisors, whose sum is σ = 188460619776. Its totient is φ = 14706800640.

The previous prime is 54461389223. The next prime is 54461389267. The reversal of 54461389248 is 84298316445.

54461389248 is a `hidden beast` number, since 54 + 461 + 3 + 8 + 92 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a junction number, because it is equal to n+sod(n) for n = 54461389194 and 54461389203.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5369590 + ... + 5379722.

Almost surely, 2^54461389248 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 54461389248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94230309888).

54461389248 is an abundant number, since it is smaller than the sum of its proper divisors (133999230528).

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

54461389248 is a wasteful number, since it uses less digits than its factorization.

54461389248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10232 (or 10219 counting only the distinct ones).

The product of its digits is 6635520, while the sum is 54.

The spelling of 54461389248 in words is "fifty-four billion, four hundred sixty-one million, three hundred eighty-nine thousand, two hundred forty-eight".