54133433145 has 72 divisors (see below), whose sum is σ = 103210635528. Its totient is φ = 26227745280.

The previous prime is 54133433141. The next prime is 54133433147.

54133433145 is a `hidden beast` number, since 5 + 4 + 1 + 334 + 3 + 314 + 5 = 666.

54133433145 is nontrivially palindromic in base 10.

54133433145 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 12864323241 + 41269109904 = 113421^2 + 203148^2 .

It is not a de Polignac number, because 54133433145 - 2² = 54133433141 is a prime.

It is not an unprimeable number, because it can be changed into a prime (54133433141) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10413687 + ... + 10418883.

It is an arithmetic number, because the mean of its divisors is an integer number (1433481049).

Almost surely, 2^54133433145 is an apocalyptic number.

54133433145 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

54133433145 is a deficient number, since it is larger than the sum of its proper divisors (49077202383).

54133433145 is a wasteful number, since it uses less digits than its factorization.

54133433145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7143 (or 7129 counting only the distinct ones).

The product of its digits is 129600, while the sum is 36.

The spelling of 54133433145 in words is "fifty-four billion, one hundred thirty-three million, four hundred thirty-three thousand, one hundred forty-five".