45853477435854 has 144 divisors (see below), whose sum is σ = 113145950853936. Its totient is φ = 13399808970240.

The previous prime is 45853477435853. The next prime is 45853477435907.

45853477435854 is a `hidden beast` number, since 4 + 5 + 8 + 5 + 34 + 7 + 7 + 4 + 3 + 585 + 4 = 666.

45853477435854 is nontrivially palindromic in base 10.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45853477435853) 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, 6588517 + ... + 11623919.

It is an arithmetic number, because the mean of its divisors is an integer number (785735769819).

Almost surely, 2^{45853477435854} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45853477435854, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56572975426968).

45853477435854 is an abundant number, since it is smaller than the sum of its proper divisors (67292473418082).

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

45853477435854 is a wasteful number, since it uses less digits than its factorization.

45853477435854 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5035583 (or 5035569 counting only the distinct ones).

The product of its digits is 4515840000, while the sum is 72.

The spelling of 45853477435854 in words is "forty-five trillion, eight hundred fifty-three billion, four hundred seventy-seven million, four hundred thirty-five thousand, eight hundred fifty-four".