54074826144 has 72 divisors (see below), whose sum is σ = 153832557060. Its totient is φ = 18018229248.

The previous prime is 54074826121. The next prime is 54074826187. The reversal of 54074826144 is 44162847045.

54074826144 is a `hidden beast` number, since 540 + 7 + 4 + 8 + 2 + 61 + 44 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 51411027600 + 2663798544 = 226740^2 + 51612^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a self number, because there is not a number n which added to its sum of digits gives 54074826144.

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 11 ways as a sum of consecutive naturals, for example, 771972 + ... + 839100.

Almost surely, 2^54074826144 is an apocalyptic number.

It is an amenable number.

54074826144 is an abundant number, since it is smaller than the sum of its proper divisors (99757730916).

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

54074826144 is a wasteful number, since it uses less digits than its factorization.

54074826144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69942 (or 69931 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 45.

The spelling of 54074826144 in words is "fifty-four billion, seventy-four million, eight hundred twenty-six thousand, one hundred forty-four".