45666432 has 144 divisors (see below), whose sum is σ = 153053550. Its totient is φ = 13031424.

The previous prime is 45666421. The next prime is 45666449. The reversal of 45666432 is 23466654.

It can be written as a sum of positive squares in only one way, i.e., 30735936 + 14930496 = 5544^2 + 3864^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×45666432² = 4170846023221248, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 56044 + ... + 56852.

Almost surely, 2^45666432 is an apocalyptic number.

45666432 is a gapful number since it is divisible by the number (42) 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 45666432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76526775).

45666432 is an abundant number, since it is smaller than the sum of its proper divisors (107387118).

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

45666432 is a wasteful number, since it uses less digits than its factorization.

45666432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 843 (or 821 counting only the distinct ones).

The product of its digits is 103680, while the sum is 36.

The square root of 45666432 is about 6757.6942813359. The cubic root of 45666432 is about 357.4366053825.

The spelling of 45666432 in words is "forty-five million, six hundred sixty-six thousand, four hundred thirty-two".