45506556 has 96 divisors (see below), whose sum is σ = 124185600. Its totient is φ = 14394240.

The previous prime is 45506509. The next prime is 45506557. The reversal of 45506556 is 65560554.

It is a happy number.

It is a super-2 number, since 2×45506556² = 4141693277962272, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 45506556.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45506557) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 190285 + ... + 190523.

It is an arithmetic number, because the mean of its divisors is an integer number (1293600).

Almost surely, 2^45506556 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 45506556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62092800).

45506556 is an abundant number, since it is smaller than the sum of its proper divisors (78679044).

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

45506556 is a wasteful number, since it uses less digits than its factorization.

45506556 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 36.

The square root of 45506556 is about 6745.8547271639. The cubic root of 45506556 is about 357.0189948230.

The spelling of 45506556 in words is "forty-five million, five hundred six thousand, five hundred fifty-six".