45696782411280 has 2560 divisors, whose sum is σ = 225604760371200. Its totient is φ = 8186224435200.

The previous prime is 45696782411257. The next prime is 45696782411347. The reversal of 45696782411280 is 8211428769654.

It is a happy number.

45696782411280 is a `hidden beast` number, since 4 + 5 + 6 + 9 + 67 + 82 + 411 + 2 + 80 = 666.

45696782411280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (23) of ones.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 2916746007 + ... + 2916761673.

It is an arithmetic number, because the mean of its divisors is an integer number (88126859520).

Almost surely, 2^{45696782411280} is an apocalyptic number.

45696782411280 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 45696782411280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112802380185600).

45696782411280 is an abundant number, since it is smaller than the sum of its proper divisors (179907977959920).

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

45696782411280 is a wasteful number, since it uses less digits than its factorization.

45696782411280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15810 (or 15798 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 45696782411280 in words is "forty-five trillion, six hundred ninety-six billion, seven hundred eighty-two million, four hundred eleven thousand, two hundred eighty".