45716832200 has 108 divisors (see below), whose sum is σ = 115195909635. Its totient is φ = 16865546880.

The previous prime is 45716832103. The next prime is 45716832233. The reversal of 45716832200 is 223861754.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 2862036004 + 42854796196 = 53498^2 + 207014^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=151190.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 39308819 + ... + 39309981.

Almost surely, 2^45716832200 is an apocalyptic number.

45716832200 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 45716832200

45716832200 is an abundant number, since it is smaller than the sum of its proper divisors (69479077435).

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

45716832200 is a wasteful number, since it uses less digits than its factorization.

45716832200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2368 (or 1183 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 38.

The spelling of 45716832200 in words is "forty-five billion, seven hundred sixteen million, eight hundred thirty-two thousand, two hundred".