48099213792 has 432 divisors, whose sum is σ = 168297816960. Its totient is φ = 12994442496.

The previous prime is 48099213779. The next prime is 48099213817. The reversal of 48099213792 is 29731299084.

48099213792 is a `hidden beast` number, since 480 + 9 + 92 + 1 + 3 + 79 + 2 = 666.

It is a super-3 number, since 3×48099213792³ (a number of 33 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 91967643 + ... + 91968165.

It is an arithmetic number, because the mean of its divisors is an integer number (389578280).

Almost surely, 2^48099213792 is an apocalyptic number.

48099213792 is a gapful number since it is divisible by the number (42) 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 48099213792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84148908480).

48099213792 is an abundant number, since it is smaller than the sum of its proper divisors (120198603168).

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

48099213792 is an equidigital number, since it uses as much as digits as its factorization.

48099213792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 593 (or 554 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 48099213792 in words is "forty-eight billion, ninety-nine million, two hundred thirteen thousand, seven hundred ninety-two".