45553632 has 48 divisors (see below), whose sum is σ = 123443712. Its totient is φ = 14693760.

The previous prime is 45553631. The next prime is 45553633. The reversal of 45553632 is 23635554.

It is an interprime number because it is at equal distance from previous prime (45553631) and next prime (45553633).

It is a tau number, because it is divible by the number of its divisors (48).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 45553593 and 45553602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45553631) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4678 + ... + 10629.

It is an arithmetic number, because the mean of its divisors is an integer number (2571744).

Almost surely, 2^45553632 is an apocalyptic number.

It is an amenable number.

45553632 is an abundant number, since it is smaller than the sum of its proper divisors (77890080).

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

45553632 is a wasteful number, since it uses less digits than its factorization.

45553632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15351 (or 15343 counting only the distinct ones).

The product of its digits is 54000, while the sum is 33.

The square root of 45553632 is about 6749.3430791448. The cubic root of 45553632 is about 357.1420630535.

The spelling of 45553632 in words is "forty-five million, five hundred fifty-three thousand, six hundred thirty-two".