45060397200 has 2400 divisors, whose sum is σ = 225045596160. Its totient is φ = 8360755200.

The previous prime is 45060397199. The next prime is 45060397211. The reversal of 45060397200 is 279306054.

45060397200 is a `hidden beast` number, since 4 + 5 + 0 + 60 + 397 + 200 = 666.

45060397200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 1453561185 + ... + 1453561215.

Almost surely, 2^45060397200 is an apocalyptic number.

45060397200 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 45060397200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112522798080).

45060397200 is an abundant number, since it is smaller than the sum of its proper divisors (179985198960).

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

45060397200 is a wasteful number, since it uses less digits than its factorization.

45060397200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 45060397200 in words is "forty-five billion, sixty million, three hundred ninety-seven thousand, two hundred".