46541159028 has 432 divisors, whose sum is σ = 151757096400. Its totient is φ = 11915624448.

The previous prime is 46541159023. The next prime is 46541159047. The reversal of 46541159028 is 82095114564.

46541159028 is a `hidden beast` number, since 4 + 6 + 54 + 1 + 1 + 590 + 2 + 8 = 666.

46541159028 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 8 ways, for example, as 45724644 + 46495434384 = 6762^2 + 215628^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46541159023) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 181093876 + ... + 181094132.

It is an arithmetic number, because the mean of its divisors is an integer number (351289575).

Almost surely, 2^46541159028 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 46541159028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75878548200).

46541159028 is an abundant number, since it is smaller than the sum of its proper divisors (105215937372).

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

46541159028 is a wasteful number, since it uses less digits than its factorization.

46541159028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 46541159028 in words is "forty-six billion, five hundred forty-one million, one hundred fifty-nine thousand, twenty-eight".