45497995200 has 1008 divisors, whose sum is σ = 192948275520. Its totient is φ = 9953280000.

The previous prime is 45497995187. The next prime is 45497995201. The reversal of 45497995200 is 259979454.

45497995200 is a `hidden beast` number, since 4 + 5 + 49 + 79 + 9 + 520 + 0 = 666.

45497995200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45497995201) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 417412746 + ... + 417412854.

It is an arithmetic number, because the mean of its divisors is an integer number (191416940).

Almost surely, 2^45497995200 is an apocalyptic number.

45497995200 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 45497995200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96474137760).

45497995200 is an abundant number, since it is smaller than the sum of its proper divisors (147450280320).

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

45497995200 is a wasteful number, since it uses less digits than its factorization.

45497995200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 54.

The spelling of 45497995200 in words is "forty-five billion, four hundred ninety-seven million, nine hundred ninety-five thousand, two hundred".