48646656000 has 1248 divisors, whose sum is σ = 200930865408. Its totient is φ = 11678515200.

The previous prime is 48646655971. The next prime is 48646656001. The reversal of 48646656000 is 65664684.

48646656000 is a `hidden beast` number, since 4 + 86 + 4 + 6 + 6 + 560 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48646656001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2115071989 + ... + 2115072011.

It is an arithmetic number, because the mean of its divisors is an integer number (161002296).

Almost surely, 2^48646656000 is an apocalyptic number.

48646656000 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 48646656000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100465432704).

48646656000 is an abundant number, since it is smaller than the sum of its proper divisors (152284209408).

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

48646656000 is an equidigital number, since it uses as much as digits as its factorization.

48646656000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 48646656000 in words is "forty-eight billion, six hundred forty-six million, six hundred fifty-six thousand".