48254976000 has 1536 divisors, whose sum is σ = 229659805440. Its totient is φ = 9437184000.

The previous prime is 48254975987. The next prime is 48254976019. The reversal of 48254976000 is 67945284.

It is a happy number.

48254976000 is a `hidden beast` number, since 48 + 2 + 549 + 7 + 60 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

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

It is an unprimeable number.

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, 2838527992 + ... + 2838528008.

Almost surely, 2^48254976000 is an apocalyptic number.

48254976000 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 48254976000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114829902720).

48254976000 is an abundant number, since it is smaller than the sum of its proper divisors (181404829440).

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

48254976000 is a wasteful number, since it uses less digits than its factorization.

48254976000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 48254976000 in words is "forty-eight billion, two hundred fifty-four million, nine hundred seventy-six thousand".