45486144 has 112 divisors (see below), whose sum is σ = 145938240. Its totient is φ = 13777920.

The previous prime is 45486121. The next prime is 45486149. The reversal of 45486144 is 44168454.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 45486099 and 45486108.

It is not an unprimeable number, because it can be changed into a prime (45486149) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17812 + ... + 20204.

It is an arithmetic number, because the mean of its divisors is an integer number (1303020).

Almost surely, 2^45486144 is an apocalyptic number.

45486144 is a gapful number since it is divisible by the number (44) 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 45486144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72969120).

45486144 is an abundant number, since it is smaller than the sum of its proper divisors (100452096).

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

45486144 is a wasteful number, since it uses less digits than its factorization.

45486144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2425 (or 2409 counting only the distinct ones).

The product of its digits is 61440, while the sum is 36.

The square root of 45486144 is about 6744.3416283578. The cubic root of 45486144 is about 356.9656064599.

The spelling of 45486144 in words is "forty-five million, four hundred eighty-six thousand, one hundred forty-four".