4064513516154 has 768 divisors, whose sum is σ = 11963850522624. Its totient is φ = 967209984000.

The previous prime is 4064513516153. The next prime is 4064513516207. The reversal of 4064513516154 is 4516153154604.

4064513516154 is a `hidden beast` number, since 4 + 0 + 6 + 451 + 35 + 16 + 154 = 666.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (4064513516153) by changing a digit.

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 383 ways as a sum of consecutive naturals, for example, 25888621044 + ... + 25888621200.

It is an arithmetic number, because the mean of its divisors is an integer number (15577930368).

Almost surely, 2^{4064513516154} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4064513516154, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5981925261312).

4064513516154 is an abundant number, since it is smaller than the sum of its proper divisors (7899337006470).

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

4064513516154 is a wasteful number, since it uses less digits than its factorization.

4064513516154 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 531 (or 528 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The spelling of 4064513516154 in words is "four trillion, sixty-four billion, five hundred thirteen million, five hundred sixteen thousand, one hundred fifty-four".