45838144 has 28 divisors (see below), whose sum is σ = 99230688. Its totient is φ = 20835200.

The previous prime is 45838139. The next prime is 45838151. The reversal of 45838144 is 44183854.

It is a super-2 number, since 2×45838144² = 4202270890729472, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 31852 + ... + 33259.

Almost surely, 2^45838144 is an apocalyptic number.

45838144 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

45838144 is an abundant number, since it is smaller than the sum of its proper divisors (53392544).

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

45838144 is a wasteful number, since it uses less digits than its factorization.

45838144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65134 (or 65124 counting only the distinct ones).

The product of its digits is 61440, while the sum is 37.

The square root of 45838144 is about 6770.3872858205. The cubic root of 45838144 is about 357.8840484637.

The spelling of 45838144 in words is "forty-five million, eight hundred thirty-eight thousand, one hundred forty-four".