45496512 has 112 divisors (see below), whose sum is σ = 135514080. Its totient is φ = 14966784.

The previous prime is 45496489. The next prime is 45496513. The reversal of 45496512 is 21569454.

45496512 is a `hidden beast` number, since 4 + 54 + 96 + 512 = 666.

It is a super-2 number, since 2×45496512² = 4139865208332288, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (45496513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 195148 + ... + 195380.

Almost surely, 2^45496512 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 45496512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67757040).

45496512 is an abundant number, since it is smaller than the sum of its proper divisors (90017568).

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

45496512 is a wasteful number, since it uses less digits than its factorization.

45496512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367 (or 351 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 45496512 is about 6745.1102288992. The cubic root of 45496512 is about 356.9927263542.

The spelling of 45496512 in words is "forty-five million, four hundred ninety-six thousand, five hundred twelve".