45113600 has 216 divisors, whose sum is σ = 136866240. Its totient is φ = 14376960.

The previous prime is 45113599. The next prime is 45113617. The reversal of 45113600 is 631154.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 851174 + ... + 851226.

It is an arithmetic number, because the mean of its divisors is an integer number (633640).

Almost surely, 2^45113600 is an apocalyptic number.

45113600 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 45113600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68433120).

45113600 is an abundant number, since it is smaller than the sum of its proper divisors (91752640).

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

45113600 is a wasteful number, since it uses less digits than its factorization.

45113600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 45113600 is about 6716.6658395368. The cubic root of 45113600 is about 355.9883849259.

Adding to 45113600 its reverse (631154), we get a palindrome (45744754).

The spelling of 45113600 in words is "forty-five million, one hundred thirteen thousand, six hundred".