45354145200 has 360 divisors, whose sum is σ = 182007757008. Its totient is φ = 9569064960.

The previous prime is 45354145169. The next prime is 45354145223. The reversal of 45354145200 is 254145354.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 734734 + ... + 794066.

Almost surely, 2^45354145200 is an apocalyptic number.

45354145200 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 45354145200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91003878504).

45354145200 is an abundant number, since it is smaller than the sum of its proper divisors (136653611808).

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

45354145200 is a wasteful number, since it uses less digits than its factorization.

45354145200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59381 (or 59363 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 33.

The spelling of 45354145200 in words is "forty-five billion, three hundred fifty-four million, one hundred forty-five thousand, two hundred".