48663518401792 has 720 divisors, whose sum is σ = 121653648668160. Its totient is φ = 19383146754048.

The previous prime is 48663518401789. The next prime is 48663518401793. The reversal of 48663518401792 is 29710481536684.

It is a super-2 number, since 2×48663518401792² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48663518401793) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 78616346059 + ... + 78616346677.

It is an arithmetic number, because the mean of its divisors is an integer number (168963400928).

It is a 1-persistent number, because it is pandigital, but 2⋅48663518401792 = 97327036803584 is not.

Almost surely, 2^{48663518401792} 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 48663518401792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60826824334080).

48663518401792 is an abundant number, since it is smaller than the sum of its proper divisors (72990130266368).

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

48663518401792 is an frugal number, since it uses more digits than its factorization.

48663518401792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 836 (or 801 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 64.

The spelling of 48663518401792 in words is "forty-eight trillion, six hundred sixty-three billion, five hundred eighteen million, four hundred one thousand, seven hundred ninety-two".