45605125200 has 120 divisors (see below), whose sum is σ = 146271672736. Its totient is φ = 12146112000.

The previous prime is 45605125177. The next prime is 45605125229. The reversal of 45605125200 is 252150654.

45605125200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 949770 + ... + 996630.

Almost surely, 2^45605125200 is an apocalyptic number.

45605125200 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 45605125200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73135836368).

45605125200 is an abundant number, since it is smaller than the sum of its proper divisors (100666547536).

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

45605125200 is a wasteful number, since it uses less digits than its factorization.

45605125200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47693 (or 47682 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

Adding to 45605125200 its reverse (252150654), we get a palindrome (45857275854).

The spelling of 45605125200 in words is "forty-five billion, six hundred five million, one hundred twenty-five thousand, two hundred".