48466656000 has 864 divisors, whose sum is σ = 206432553600. Its totient is φ = 10683187200.

The previous prime is 48466655983. The next prime is 48466656031. The reversal of 48466656000 is 65666484.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 58463586 + ... + 58464414.

Almost surely, 2^48466656000 is an apocalyptic number.

48466656000 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 48466656000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103216276800).

48466656000 is an abundant number, since it is smaller than the sum of its proper divisors (157965897600).

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

48466656000 is a wasteful number, since it uses less digits than its factorization.

48466656000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 902 (or 875 counting only the distinct ones).

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

The spelling of 48466656000 in words is "forty-eight billion, four hundred sixty-six million, six hundred fifty-six thousand".