48018317035680 has 288 divisors, whose sum is σ = 168413409964800. Its totient is φ = 12454096951296.

The previous prime is 48018317035679. The next prime is 48018317035709. The reversal of 48018317035680 is 8653071381084.

It is a happy number.

48018317035680 is a `hidden beast` number, since 4 + 8 + 0 + 1 + 8 + 3 + 1 + 70 + 3 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×48018317035680² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4471906 + ... + 10771934.

It is an arithmetic number, because the mean of its divisors is an integer number (584768784600).

Almost surely, 2^{48018317035680} is an apocalyptic number.

48018317035680 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 48018317035680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84206704982400).

48018317035680 is an abundant number, since it is smaller than the sum of its proper divisors (120395092929120).

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

48018317035680 is a wasteful number, since it uses less digits than its factorization.

48018317035680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6300196 (or 6300185 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 48018317035680 in words is "forty-eight trillion, eighteen billion, three hundred seventeen million, thirty-five thousand, six hundred eighty".