48114190080 has 576 divisors, whose sum is σ = 189140313600. Its totient is φ = 11483873280.

The previous prime is 48114190051. The next prime is 48114190139. The reversal of 48114190080 is 8009141184.

48114190080 is a `hidden beast` number, since 481 + 14 + 1 + 90 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25469776 + ... + 25471664.

It is an arithmetic number, because the mean of its divisors is an integer number (328368600).

Almost surely, 2^48114190080 is an apocalyptic number.

48114190080 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 48114190080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94570156800).

48114190080 is an abundant number, since it is smaller than the sum of its proper divisors (141026123520).

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

48114190080 is a wasteful number, since it uses less digits than its factorization.

48114190080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1997 (or 1977 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The spelling of 48114190080 in words is "forty-eight billion, one hundred fourteen million, one hundred ninety thousand, eighty".