48023114688 has 336 divisors, whose sum is σ = 150670260000. Its totient is φ = 14566293504.

The previous prime is 48023114603. The next prime is 48023114731. The reversal of 48023114688 is 88641132084.

48023114688 is a `hidden beast` number, since 480 + 23 + 1 + 146 + 8 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 106955488 + ... + 106955936.

Almost surely, 2^48023114688 is an apocalyptic number.

48023114688 is a gapful number since it is divisible by the number (48) 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 48023114688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75335130000).

48023114688 is an abundant number, since it is smaller than the sum of its proper divisors (102647145312).

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

48023114688 is a wasteful number, since it uses less digits than its factorization.

48023114688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 852 (or 839 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 48023114688 in words is "forty-eight billion, twenty-three million, one hundred fourteen thousand, six hundred eighty-eight".