45069696 has 256 divisors, whose sum is σ = 160588800. Its totient is φ = 12317184.

The previous prime is 45069659. The next prime is 45069721. The reversal of 45069696 is 69696054.

45069696 = 45³ + 46³ + ... + 116³.

45069696 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 1959541 + ... + 1959563.

It is an arithmetic number, because the mean of its divisors is an integer number (627300).

Almost surely, 2^45069696 is an apocalyptic number.

45069696 is a gapful number since it is divisible by the number (46) 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 45069696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80294400).

45069696 is an abundant number, since it is smaller than the sum of its proper divisors (115519104).

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

45069696 is an frugal number, since it uses more digits than its factorization.

45069696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65 (or 35 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The square root of 45069696 is about 6713.3967557415. The cubic root of 45069696 is about 355.8728662732.

The spelling of 45069696 in words is "forty-five million, sixty-nine thousand, six hundred ninety-six".