45633654 has 48 divisors (see below), whose sum is σ = 110794320. Its totient is φ = 13452480.

The previous prime is 45633647. The next prime is 45633659.

45633654 is nontrivially palindromic in base 10.

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (45633659) 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, 4212 + ... + 10440.

It is an arithmetic number, because the mean of its divisors is an integer number (2308215).

Almost surely, 2^45633654 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45633654, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55397160).

45633654 is an abundant number, since it is smaller than the sum of its proper divisors (65160666).

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

45633654 is a wasteful number, since it uses less digits than its factorization.

45633654 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6285 (or 6282 counting only the distinct ones).

The product of its digits is 129600, while the sum is 36.

The square root of 45633654 is about 6755.2686104995. The cubic root of 45633654 is about 357.3510658093.

The spelling of 45633654 in words is "forty-five million, six hundred thirty-three thousand, six hundred fifty-four".