54481911456 has 192 divisors, whose sum is σ = 175561344000. Its totient is φ = 14746814208.

The previous prime is 54481911401. The next prime is 54481911461. The reversal of 54481911456 is 65411918445.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 582091 + ... + 669173.

It is an arithmetic number, because the mean of its divisors is an integer number (914382000).

Almost surely, 2^54481911456 is an apocalyptic number.

54481911456 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 54481911456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87780672000).

54481911456 is an abundant number, since it is smaller than the sum of its proper divisors (121079432544).

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

54481911456 is a wasteful number, since it uses less digits than its factorization.

54481911456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87136 (or 87114 counting only the distinct ones).

The product of its digits is 691200, while the sum is 48.

The spelling of 54481911456 in words is "fifty-four billion, four hundred eighty-one million, nine hundred eleven thousand, four hundred fifty-six".