48748492800 has 1296 divisors, whose sum is σ = 216728628480. Its totient is φ = 10404495360.

The previous prime is 48748492787. The next prime is 48748492813. The reversal of 48748492800 is 829484784.

48748492800 is a `hidden beast` number, since 4 + 8 + 74 + 8 + 492 + 80 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (48748492787) and next prime (48748492813).

It is a zygodrome in base 3.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 383846337 + ... + 383846463.

It is an arithmetic number, because the mean of its divisors is an integer number (167228880).

Almost surely, 2^48748492800 is an apocalyptic number.

48748492800 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 48748492800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108364314240).

48748492800 is an abundant number, since it is smaller than the sum of its proper divisors (167980135680).

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

48748492800 is a wasteful number, since it uses less digits than its factorization.

48748492800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 48748492800 in words is "forty-eight billion, seven hundred forty-eight million, four hundred ninety-two thousand, eight hundred".