45265968 has 180 divisors, whose sum is σ = 149983704. Its totient is φ = 12595200.

The previous prime is 45265963. The next prime is 45265981. The reversal of 45265968 is 86956254.

45265968 = 82³ + 83³ + ... + 122³.

45265968 is a `hidden beast` number, since 4 + 52 + 6 + 596 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (45265963) 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 35 ways as a sum of consecutive naturals, for example, 1104028 + ... + 1104068.

Almost surely, 2^45265968 is an apocalyptic number.

45265968 is a gapful number since it is divisible by the number (48) 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 45265968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74991852).

45265968 is an abundant number, since it is smaller than the sum of its proper divisors (104717736).

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

45265968 is a wasteful number, since it uses less digits than its factorization.

45265968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 74 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The square root of 45265968 is about 6727.9988109393. The cubic root of 45265968 is about 356.3887097891.

The spelling of 45265968 in words is "forty-five million, two hundred sixty-five thousand, nine hundred sixty-eight".