48356976000000 has 1232 divisors, whose sum is σ = 179621950809600. Its totient is φ = 11494195200000.

The previous prime is 48356975999933. The next prime is 48356976000001. The reversal of 48356976000000 is 67965384.

48356976000000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48356976000001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 15503998441 + ... + 15504001559.

Almost surely, 2^{48356976000000} is an apocalyptic number.

48356976000000 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 48356976000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89810975404800).

48356976000000 is an abundant number, since it is smaller than the sum of its proper divisors (131264974809600).

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

48356976000000 is an equidigital number, since it uses as much as digits as its factorization.

48356976000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3208 (or 3165 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 48.

The spelling of 48356976000000 in words is "forty-eight trillion, three hundred fifty-six billion, nine hundred seventy-six million", and thus it is an aban number.