45537516 has 72 divisors (see below), whose sum is σ = 123002880. Its totient is φ = 14170464.

The previous prime is 45537497. The next prime is 45537517. The reversal of 45537516 is 61573554.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (45537517) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34965 + ... + 36243.

Almost surely, 2^45537516 is an apocalyptic number.

45537516 is a gapful number since it is divisible by the number (46) 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 45537516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61501440).

45537516 is an abundant number, since it is smaller than the sum of its proper divisors (77465364).

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

45537516 is a wasteful number, since it uses less digits than its factorization.

45537516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1355 (or 1350 counting only the distinct ones).

The product of its digits is 63000, while the sum is 36.

The square root of 45537516 is about 6748.1490795625. The cubic root of 45537516 is about 357.0999414185.

The spelling of 45537516 in words is "forty-five million, five hundred thirty-seven thousand, five hundred sixteen".