45435033051100 has 72 divisors (see below), whose sum is σ = 122922416711808. Its totient is φ = 14161568740800.

The previous prime is 45435033051061. The next prime is 45435033051103. The reversal of 45435033051100 is 115033053454.

45435033051100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×45435033051100² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45435033051103) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 2950319122 + ... + 2950334521.

It is an arithmetic number, because the mean of its divisors is an integer number (1707255787664).

Almost surely, 2^{45435033051100} is an apocalyptic number.

It is an amenable number.

45435033051100 is an abundant number, since it is smaller than the sum of its proper divisors (77487383660708).

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

45435033051100 is a wasteful number, since it uses less digits than its factorization.

45435033051100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5900653675 (or 5900653668 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 34.

The spelling of 45435033051100 in words is "forty-five trillion, four hundred thirty-five billion, thirty-three million, fifty-one thousand, one hundred".