45618681654 has 256 divisors, whose sum is σ = 135688089600. Its totient is φ = 11016787968.

The previous prime is 45618681649. The next prime is 45618681677.

It is a happy number.

45618681654 is a `hidden beast` number, since 4 + 5 + 618 + 6 + 8 + 16 + 5 + 4 = 666.

45618681654 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 45618681654.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3083527 + ... + 3098285.

It is an arithmetic number, because the mean of its divisors is an integer number (530031600).

Almost surely, 2^45618681654 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45618681654, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67844044800).

45618681654 is an abundant number, since it is smaller than the sum of its proper divisors (90069407946).

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

45618681654 is a wasteful number, since it uses less digits than its factorization.

45618681654 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14844 (or 14838 counting only the distinct ones).

The product of its digits is 5529600, while the sum is 54.

The spelling of 45618681654 in words is "forty-five billion, six hundred eighteen million, six hundred eighty-one thousand, six hundred fifty-four".