48645536981760 has 360 divisors, whose sum is σ = 175391398462896. Its totient is φ = 12873115607040.

The previous prime is 48645536981719. The next prime is 48645536981761. The reversal of 48645536981760 is 6718963554684.

48645536981760 is a `hidden beast` number, since 4 + 8 + 6 + 4 + 5 + 536 + 9 + 81 + 7 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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 (48645536981761) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 11791282 + ... + 15372878.

Almost surely, 2^{48645536981760} is an apocalyptic number.

48645536981760 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 48645536981760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87695699231448).

48645536981760 is an abundant number, since it is smaller than the sum of its proper divisors (126745861481136).

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

48645536981760 is a wasteful number, since it uses less digits than its factorization.

48645536981760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3581761 (or 3581738 counting only the distinct ones).

The product of its (nonzero) digits is 1045094400, while the sum is 72.

The spelling of 48645536981760 in words is "forty-eight trillion, six hundred forty-five billion, five hundred thirty-six million, nine hundred eighty-one thousand, seven hundred sixty".