45186066068154 has 384 divisors, whose sum is σ = 108796054929408. Its totient is φ = 12396672000000.

The previous prime is 45186066068147. The next prime is 45186066068183.

It is a happy number.

45186066068154 is nontrivially palindromic in base 10.

45186066068154 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 21405051559 + ... + 21405053669.

It is an arithmetic number, because the mean of its divisors is an integer number (283323059712).

Almost surely, 2^{45186066068154} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45186066068154, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54398027464704).

45186066068154 is an abundant number, since it is smaller than the sum of its proper divisors (63609988861254).

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

45186066068154 is a wasteful number, since it uses less digits than its factorization.

45186066068154 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2574 (or 2557 counting only the distinct ones).

The product of its (nonzero) digits is 33177600, while the sum is 60.

The spelling of 45186066068154 in words is "forty-five trillion, one hundred eighty-six billion, sixty-six million, sixty-eight thousand, one hundred fifty-four".