48094186560 has 448 divisors, whose sum is σ = 181967843328. Its totient is φ = 10532560896.

The previous prime is 48094186541. The next prime is 48094186577. The reversal of 48094186560 is 6568149084.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-3 number, since 3×48094186560³ (a number of 33 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16657437 + ... + 16660323.

Almost surely, 2^48094186560 is an apocalyptic number.

48094186560 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 48094186560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90983921664).

48094186560 is an abundant number, since it is smaller than the sum of its proper divisors (133873656768).

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

48094186560 is a wasteful number, since it uses less digits than its factorization.

48094186560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3018 (or 3008 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 51.

The spelling of 48094186560 in words is "forty-eight billion, ninety-four million, one hundred eighty-six thousand, five hundred sixty".