48093284736000 has 2288 divisors, whose sum is σ = 207720157424832. Its totient is φ = 10883911680000.

The previous prime is 48093284735981. The next prime is 48093284736031. The reversal of 48093284736000 is 63748239084.

48093284736000 is a `hidden beast` number, since 4 + 8 + 0 + 9 + 3 + 28 + 4 + 7 + 3 + 600 + 0 = 666.

It is a super-3 number, since 3×48093284736000³ (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 207 ways as a sum of consecutive naturals, for example, 476171135950 + ... + 476171136050.

Almost surely, 2^{48093284736000} is an apocalyptic number.

48093284736000 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 48093284736000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103860078712416).

48093284736000 is an abundant number, since it is smaller than the sum of its proper divisors (159626872688832).

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

48093284736000 is an frugal number, since it uses more digits than its factorization.

48093284736000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 48093284736000 in words is "forty-eight trillion, ninety-three billion, two hundred eighty-four million, seven hundred thirty-six thousand".