45376723200 has 216 divisors, whose sum is σ = 150904154016. Its totient is φ = 12007424000.

The previous prime is 45376723181. The next prime is 45376723237. The reversal of 45376723200 is 232767354.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2506180 + ... + 2524220.

Almost surely, 2^45376723200 is an apocalyptic number.

45376723200 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 45376723200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75452077008).

45376723200 is an abundant number, since it is smaller than the sum of its proper divisors (105527430816).

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

45376723200 is a wasteful number, since it uses less digits than its factorization.

45376723200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18201 (or 18182 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 39.

The spelling of 45376723200 in words is "forty-five billion, three hundred seventy-six million, seven hundred twenty-three thousand, two hundred".