45969031680 has 640 divisors, whose sum is σ = 181818362880. Its totient is φ = 9740943360.

The previous prime is 45969031651. The next prime is 45969031681. The reversal of 45969031680 is 8613096954.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×45969031680² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (45969031681) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 20865459 + ... + 20867661.

It is an arithmetic number, because the mean of its divisors is an integer number (284091192).

Almost surely, 2^45969031680 is an apocalyptic number.

45969031680 is a gapful number since it is divisible by the number (40) 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 45969031680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90909181440).

45969031680 is an abundant number, since it is smaller than the sum of its proper divisors (135849331200).

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

45969031680 is a wasteful number, since it uses less digits than its factorization.

45969031680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2272 (or 2256 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 51.

The spelling of 45969031680 in words is "forty-five billion, nine hundred sixty-nine million, thirty-one thousand, six hundred eighty".