45205116 has 72 divisors (see below), whose sum is σ = 117261312. Its totient is φ = 13543200.

The previous prime is 45205079. The next prime is 45205141. The reversal of 45205116 is 61150254.

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, 236581 + ... + 236771.

Almost surely, 2^45205116 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45205116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58630656).

45205116 is an abundant number, since it is smaller than the sum of its proper divisors (72056196).

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

45205116 is a wasteful number, since it uses less digits than its factorization.

45205116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 45205116 is about 6723.4749943760. The cubic root of 45205116 is about 356.2289378745.

The spelling of 45205116 in words is "forty-five million, two hundred five thousand, one hundred sixteen".