48630668366592 has 2592 divisors, whose sum is σ = 179530316784000. Its totient is φ = 12502239805440.

The previous prime is 48630668366587. The next prime is 48630668366653. The reversal of 48630668366592 is 29566386603684.

48630668366592 is a `hidden beast` number, since 486 + 3 + 0 + 6 + 6 + 83 + 6 + 65 + 9 + 2 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 48630668366592.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 326380324534 + ... + 326380324682.

It is an arithmetic number, because the mean of its divisors is an integer number (69263239500).

Almost surely, 2^{48630668366592} 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 48630668366592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89765158392000).

48630668366592 is an abundant number, since it is smaller than the sum of its proper divisors (130899648417408).

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

48630668366592 is a wasteful number, since it uses less digits than its factorization.

48630668366592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 1612431360, while the sum is 72.

The spelling of 48630668366592 in words is "forty-eight trillion, six hundred thirty billion, six hundred sixty-eight million, three hundred sixty-six thousand, five hundred ninety-two".