45235514200 has 96 divisors (see below), whose sum is σ = 111511902960. Its totient is φ = 17006489600.

The previous prime is 45235514171. The next prime is 45235514209. The reversal of 45235514200 is 241553254.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45235514209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2578659 + ... + 2596141.

Almost surely, 2^45235514200 is an apocalyptic number.

45235514200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45235514200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55755951480).

45235514200 is an abundant number, since it is smaller than the sum of its proper divisors (66276388760).

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

45235514200 is a wasteful number, since it uses less digits than its factorization.

45235514200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18277 (or 18268 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 31.

The spelling of 45235514200 in words is "forty-five billion, two hundred thirty-five million, five hundred fourteen thousand, two hundred".