45967228416 has 240 divisors, whose sum is σ = 137017788336. Its totient is φ = 14826405888.

The previous prime is 45967228397. The next prime is 45967228469. The reversal of 45967228416 is 61482276954.

45967228416 is a `hidden beast` number, since 4 + 596 + 7 + 2 + 2 + 8 + 41 + 6 = 666.

It is a super-2 number, since 2×45967228416² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 22389246 + ... + 22391298.

Almost surely, 2^45967228416 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 45967228416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68508894168).

45967228416 is an abundant number, since it is smaller than the sum of its proper divisors (91050559920).

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

45967228416 is a wasteful number, since it uses less digits than its factorization.

45967228416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2233 (or 2214 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The spelling of 45967228416 in words is "forty-five billion, nine hundred sixty-seven million, two hundred twenty-eight thousand, four hundred sixteen".