48618163607040 has 480 divisors, whose sum is σ = 177285926188800. Its totient is φ = 12279328358400.

The previous prime is 48618163607033. The next prime is 48618163607119. The reversal of 48618163607040 is 4070636181684.

48618163607040 is a `hidden beast` number, since 4 + 8 + 6 + 18 + 16 + 3 + 607 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

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, 2036009821 + ... + 2036033699.

It is an arithmetic number, because the mean of its divisors is an integer number (369345679560).

Almost surely, 2^{48618163607040} is an apocalyptic number.

48618163607040 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 48618163607040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88642963094400).

48618163607040 is an abundant number, since it is smaller than the sum of its proper divisors (128667762581760).

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

48618163607040 is a wasteful number, since it uses less digits than its factorization.

48618163607040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28578 (or 28559 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 48618163607040 in words is "forty-eight trillion, six hundred eighteen billion, one hundred sixty-three million, six hundred seven thousand, forty".