48484979246592 has 640 divisors, whose sum is σ = 165407737989120. Its totient is φ = 13736123596800.

The previous prime is 48484979246579. The next prime is 48484979246603. The reversal of 48484979246592 is 29564297948484.

48484979246592 is a `hidden beast` number, since 4 + 8 + 4 + 84 + 9 + 79 + 2 + 465 + 9 + 2 = 666.

It is a super-2 number, since 2×48484979246592² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8957133678 + ... + 8957139090.

It is an arithmetic number, because the mean of its divisors is an integer number (258449590608).

Almost surely, 2^{48484979246592} is an apocalyptic number.

48484979246592 is a gapful number since it is divisible by the number (42) 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 48484979246592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82703868994560).

48484979246592 is an abundant number, since it is smaller than the sum of its proper divisors (116922758742528).

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

48484979246592 is a wasteful number, since it uses less digits than its factorization.

48484979246592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6211 (or 6189 counting only the distinct ones).

The product of its digits is 10032906240, while the sum is 81.

The spelling of 48484979246592 in words is "forty-eight trillion, four hundred eighty-four billion, nine hundred seventy-nine million, two hundred forty-six thousand, five hundred ninety-two".