45969075216 has 135 divisors (see below), whose sum is σ = 136792494813. Its totient is φ = 14407948800.

The previous prime is 45969075181. The next prime is 45969075221. The reversal of 45969075216 is 61257096954.

The square root of 45969075216 is 214404.

It is a perfect power (a square), and thus also a powerful number.

45969075216 is a `hidden beast` number, since 4 + 59 + 69 + 0 + 7 + 521 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 35789072400 + 10180002816 = 189180^2 + 100896^2 .

It is a super-2 number, since 2×45969075216² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 43737891 + ... + 43738941.

Almost surely, 2^45969075216 is an apocalyptic number.

45969075216 is the 214404-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45969075216

45969075216 is an abundant number, since it is smaller than the sum of its proper divisors (90823419597).

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

45969075216 is a wasteful number, since it uses less digits than its factorization.

45969075216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2150 (or 1073 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 54.

The spelling of 45969075216 in words is "forty-five billion, nine hundred sixty-nine million, seventy-five thousand, two hundred sixteen".