48981312691776 has 448 divisors, whose sum is σ = 150740280606720. Its totient is φ = 15772685990400.

The previous prime is 48981312691771. The next prime is 48981312691799. The reversal of 48981312691776 is 67719621318984.

48981312691776 is a `hidden beast` number, since 4 + 8 + 9 + 81 + 312 + 69 + 177 + 6 = 666.

It is a super-3 number, since 3×48981312691776³ (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (48981312691771) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2546988081 + ... + 2547007311.

It is an arithmetic number, because the mean of its divisors is an integer number (336473840640).

Almost surely, 2^{48981312691776} 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 48981312691776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75370140303360).

48981312691776 is an abundant number, since it is smaller than the sum of its proper divisors (101758967914944).

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

48981312691776 is an equidigital number, since it uses as much as digits as its factorization.

48981312691776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19882 (or 19854 counting only the distinct ones).

The product of its digits is 219469824, while the sum is 72.

The spelling of 48981312691776 in words is "forty-eight trillion, nine hundred eighty-one billion, three hundred twelve million, six hundred ninety-one thousand, seven hundred seventy-six".