54149554368 has 672 divisors, whose sum is σ = 205509717504. Its totient is φ = 13225918464.

The previous prime is 54149554367. The next prime is 54149554369. The reversal of 54149554368 is 86345594145.

54149554368 is a `hidden beast` number, since 5 + 4 + 1 + 4 + 95 + 543 + 6 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (54149554367) and next prime (54149554369).

It is a tau number, because it is divible by the number of its divisors (672).

It is not an unprimeable number, because it can be changed into a prime (54149554367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 59701371 + ... + 59702277.

It is an arithmetic number, because the mean of its divisors is an integer number (305818032).

Almost surely, 2^54149554368 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 54149554368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102754858752).

54149554368 is an abundant number, since it is smaller than the sum of its proper divisors (151360163136).

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

54149554368 is a wasteful number, since it uses less digits than its factorization.

54149554368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1029 (or 1016 counting only the distinct ones).

The product of its digits is 10368000, while the sum is 54.

The spelling of 54149554368 in words is "fifty-four billion, one hundred forty-nine million, five hundred fifty-four thousand, three hundred sixty-eight".