45333033354 has 96 divisors (see below), whose sum is σ = 115315200000. Its totient is φ = 12865106016.

The previous prime is 45333033353. The next prime is 45333033359.

45333033354 is nontrivially palindromic in base 10.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (45333033353) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 895287 + ... + 944565.

It is an arithmetic number, because the mean of its divisors is an integer number (1201200000).

Almost surely, 2^45333033354 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45333033354, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57657600000).

45333033354 is an abundant number, since it is smaller than the sum of its proper divisors (69982166646).

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

45333033354 is a wasteful number, since it uses less digits than its factorization.

45333033354 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49457 (or 49440 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 36.

It can be divided in two parts, 453330 and 33354, that added together give a palindrome (486684).

The spelling of 45333033354 in words is "forty-five billion, three hundred thirty-three million, thirty-three thousand, three hundred fifty-four".