45207034200 has 192 divisors, whose sum is σ = 155886228000. Its totient is φ = 12041809920.

The previous prime is 45207034199. The next prime is 45207034277. The reversal of 45207034200 is 243070254.

45207034200 is a `hidden beast` number, since 452 + 0 + 7 + 0 + 3 + 4 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5444452 + ... + 5452748.

Almost surely, 2^45207034200 is an apocalyptic number.

45207034200 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 45207034200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77943114000).

45207034200 is an abundant number, since it is smaller than the sum of its proper divisors (110679193800).

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

45207034200 is a wasteful number, since it uses less digits than its factorization.

45207034200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9331 (or 9316 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The spelling of 45207034200 in words is "forty-five billion, two hundred seven million, thirty-four thousand, two hundred".