45999648 has 36 divisors (see below), whose sum is σ = 130812318. Its totient is φ = 15333120.

The previous prime is 45999557. The next prime is 45999661. The reversal of 45999648 is 84699954.

45999648 is a `hidden beast` number, since 4 + 599 + 9 + 6 + 48 = 666.

45999648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 40297104 + 5702544 = 6348^2 + 2388^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×45999648² = 4231935232247808, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 45999594 and 45999603.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 79573 + ... + 80148.

Almost surely, 2^45999648 is an apocalyptic number.

45999648 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

45999648 is an abundant number, since it is smaller than the sum of its proper divisors (84812670).

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

45999648 is a wasteful number, since it uses less digits than its factorization.

45999648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159737 (or 159726 counting only the distinct ones).

The product of its digits is 2799360, while the sum is 54.

The square root of 45999648 is about 6782.3040332913. The cubic root of 45999648 is about 358.3038731624.

The spelling of 45999648 in words is "forty-five million, nine hundred ninety-nine thousand, six hundred forty-eight".