48483746841600 has 1584 divisors, whose sum is σ = 205279321568256. Its totient is φ = 10699112448000.

The previous prime is 48483746841581. The next prime is 48483746841613. The reversal of 48483746841600 is 614864738484.

48483746841600 is a `hidden beast` number, since 4 + 8 + 4 + 8 + 3 + 7 + 468 + 4 + 160 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 27848216730 + ... + 27848218470.

Almost surely, 2^{48483746841600} is an apocalyptic number.

48483746841600 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 48483746841600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102639660784128).

48483746841600 is an abundant number, since it is smaller than the sum of its proper divisors (156795574726656).

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

48483746841600 is a wasteful number, since it uses less digits than its factorization.

48483746841600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2372 (or 2346 counting only the distinct ones).

The product of its (nonzero) digits is 99090432, while the sum is 63.

The spelling of 48483746841600 in words is "forty-eight trillion, four hundred eighty-three billion, seven hundred forty-six million, eight hundred forty-one thousand, six hundred".