45125148600 has 576 divisors, whose sum is σ = 183342432000. Its totient is φ = 10310509440.

The previous prime is 45125148589. The next prime is 45125148611. The reversal of 45125148600 is 684152154.

It is a happy number.

45125148600 is a `hidden beast` number, since 4 + 5 + 1 + 2 + 5 + 1 + 48 + 600 = 666.

45125148600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (45125148589) and next prime (45125148611).

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 143 ways as a sum of consecutive naturals, for example, 16668447 + ... + 16671153.

Almost surely, 2^45125148600 is an apocalyptic number.

45125148600 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 45125148600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91671216000).

45125148600 is an abundant number, since it is smaller than the sum of its proper divisors (138217283400).

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

45125148600 is a wasteful number, since it uses less digits than its factorization.

45125148600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2759 (or 2724 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 45125148600 in words is "forty-five billion, one hundred twenty-five million, one hundred forty-eight thousand, six hundred".