48167683442560 has 256 divisors, whose sum is σ = 133022309849280. Its totient is φ = 16483483648000.

The previous prime is 48167683442537. The next prime is 48167683442581. The reversal of 48167683442560 is 6524438676184.

48167683442560 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 (64).

It is a junction number, because it is equal to n+sod(n) for n = 48167683442492 and 48167683442501.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1797221160 + ... + 1797247960.

Almost surely, 2^{48167683442560} is an apocalyptic number.

48167683442560 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 48167683442560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66511154924640).

48167683442560 is an abundant number, since it is smaller than the sum of its proper divisors (84854626406720).

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

48167683442560 is a wasteful number, since it uses less digits than its factorization.

48167683442560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41865 (or 41853 counting only the distinct ones).

The product of its (nonzero) digits is 185794560, while the sum is 64.

The spelling of 48167683442560 in words is "forty-eight trillion, one hundred sixty-seven billion, six hundred eighty-three million, four hundred forty-two thousand, five hundred sixty".