48099403968 has 448 divisors, whose sum is σ = 169816808448. Its totient is φ = 11631329280.

The previous prime is 48099403939. The next prime is 48099403969. The reversal of 48099403968 is 86930499084.

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

It is a super-3 number, since 3×48099403968³ (a number of 33 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (48099403969) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24377830 + ... + 24379802.

It is an arithmetic number, because the mean of its divisors is an integer number (379055376).

Almost surely, 2^48099403968 is an apocalyptic number.

48099403968 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 48099403968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84908404224).

48099403968 is an abundant number, since it is smaller than the sum of its proper divisors (121717404480).

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

48099403968 is a wasteful number, since it uses less digits than its factorization.

48099403968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2120 (or 2110 counting only the distinct ones).

The product of its (nonzero) digits is 13436928, while the sum is 60.

The spelling of 48099403968 in words is "forty-eight billion, ninety-nine million, four hundred three thousand, nine hundred sixty-eight".