45715606200 has 240 divisors, whose sum is σ = 173212027560. Its totient is φ = 11082528000.

The previous prime is 45715606169. The next prime is 45715606217. The reversal of 45715606200 is 260651754.

It is a happy number.

45715606200 is a `hidden beast` number, since 4 + 5 + 71 + 560 + 6 + 20 + 0 = 666.

45715606200 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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 49930 + ... + 306470.

Almost surely, 2^45715606200 is an apocalyptic number.

45715606200 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 45715606200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86606013780).

45715606200 is an abundant number, since it is smaller than the sum of its proper divisors (127496421360).

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

45715606200 is a wasteful number, since it uses less digits than its factorization.

45715606200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256580 (or 256562 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 45715606200 in words is "forty-five billion, seven hundred fifteen million, six hundred six thousand, two hundred".