45984765960 has 896 divisors, whose sum is σ = 190381363200. Its totient is φ = 9758568960.

The previous prime is 45984765949. The next prime is 45984766001. The reversal of 45984765960 is 6956748954.

45984765960 is a `hidden beast` number, since 4 + 59 + 8 + 476 + 59 + 60 = 666.

It is a super-2 number, since 2×45984765960² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 223 ways as a sum of consecutive naturals, for example, 275357797 + ... + 275357963.

It is an arithmetic number, because the mean of its divisors is an integer number (212479200).

Almost surely, 2^45984765960 is an apocalyptic number.

45984765960 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 45984765960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95190681600).

45984765960 is an abundant number, since it is smaller than the sum of its proper divisors (144396597240).

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

45984765960 is a wasteful number, since it uses less digits than its factorization.

45984765960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 63.

The spelling of 45984765960 in words is "forty-five billion, nine hundred eighty-four million, seven hundred sixty-five thousand, nine hundred sixty".