45733566533754 has 256 divisors, whose sum is σ = 107607398400000. Its totient is φ = 12811239936000.

The previous prime is 45733566533729. The next prime is 45733566533797.

It is a happy number.

45733566533754 is nontrivially palindromic in base 10.

45733566533754 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (66).

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 127 ways as a sum of consecutive naturals, for example, 11295025522 + ... + 11295029570.

It is an arithmetic number, because the mean of its divisors is an integer number (420341400000).

Almost surely, 2^{45733566533754} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45733566533754, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53803699200000).

45733566533754 is an abundant number, since it is smaller than the sum of its proper divisors (61873831866246).

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

45733566533754 is a wasteful number, since it uses less digits than its factorization.

45733566533754 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5285.

The product of its digits is 1428840000, while the sum is 66.

The spelling of 45733566533754 in words is "forty-five trillion, seven hundred thirty-three billion, five hundred sixty-six million, five hundred thirty-three thousand, seven hundred fifty-four".