45716563200 has 1296 divisors, whose sum is σ = 201686091264. Its totient is φ = 8857190400.

The previous prime is 45716563171. The next prime is 45716563237. The reversal of 45716563200 is 236561754.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 427257547 + ... + 427257653.

It is an arithmetic number, because the mean of its divisors is an integer number (155621984).

Almost surely, 2^45716563200 is an apocalyptic number.

45716563200 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 45716563200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100843045632).

45716563200 is an abundant number, since it is smaller than the sum of its proper divisors (155969528064).

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

45716563200 is a wasteful number, since it uses less digits than its factorization.

45716563200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 39.

The spelling of 45716563200 in words is "forty-five billion, seven hundred sixteen million, five hundred sixty-three thousand, two hundred".