54664922841984 has 1536 divisors, whose sum is σ = 202974243413760. Its totient is φ = 13738392944640.

The previous prime is 54664922841913. The next prime is 54664922842001. The reversal of 54664922841984 is 48914822946645.

54664922841984 is a `hidden beast` number, since 5 + 4 + 6 + 6 + 492 + 2 + 8 + 41 + 98 + 4 = 666.

54664922841984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 72212579334 + ... + 72212580090.

Almost surely, 2^{54664922841984} 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 54664922841984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101487121706880).

54664922841984 is an abundant number, since it is smaller than the sum of its proper divisors (148309320571776).

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

54664922841984 is a wasteful number, since it uses less digits than its factorization.

54664922841984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1208 (or 1193 counting only the distinct ones).

The product of its digits is 955514880, while the sum is 72.

The spelling of 54664922841984 in words is "fifty-four trillion, six hundred sixty-four billion, nine hundred twenty-two million, eight hundred forty-one thousand, nine hundred eighty-four".