45018547200 has 1056 divisors, whose sum is σ = 187142307840. Its totient is φ = 10506240000.

The previous prime is 45018547183. The next prime is 45018547201. The reversal of 45018547200 is 274581054.

45018547200 is a `hidden beast` number, since 4 + 5 + 0 + 185 + 472 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (45018547201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 235699105 + ... + 235699295.

Almost surely, 2^45018547200 is an apocalyptic number.

45018547200 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 45018547200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93571153920).

45018547200 is an abundant number, since it is smaller than the sum of its proper divisors (142123760640).

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

45018547200 is a wasteful number, since it uses less digits than its factorization.

45018547200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

It can be divided in two parts, 4501854 and 7200, that added together give a palindrome (4509054).

The spelling of 45018547200 in words is "forty-five billion, eighteen million, five hundred forty-seven thousand, two hundred".