45200915200 has 216 divisors, whose sum is σ = 130588641792. Its totient is φ = 15167016960.

The previous prime is 45200915197. The next prime is 45200915233. The reversal of 45200915200 is 251900254.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2094867 + ... + 2116333.

Almost surely, 2^45200915200 is an apocalyptic number.

45200915200 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 45200915200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65294320896).

45200915200 is an abundant number, since it is smaller than the sum of its proper divisors (85387726592).

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

45200915200 is a wasteful number, since it uses less digits than its factorization.

45200915200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21547 (or 21528 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 28.

It can be divided in two parts, 45200 and 915200, that added together give a square (960400 = 980²).

The spelling of 45200915200 in words is "forty-five billion, two hundred million, nine hundred fifteen thousand, two hundred".