48121968 has 60 divisors (see below), whose sum is σ = 132095960. Its totient is φ = 15092736.

The previous prime is 48121967. The next prime is 48121973. The reversal of 48121968 is 86912184.

It is a Cunningham number, because it is equal to 6937²-1.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48121961) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12138 + ... + 15606.

Almost surely, 2^48121968 is an apocalyptic number.

48121968 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 48121968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66047980).

48121968 is an abundant number, since it is smaller than the sum of its proper divisors (83973992).

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

48121968 is a wasteful number, since it uses less digits than its factorization.

48121968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3514 (or 3491 counting only the distinct ones).

The product of its digits is 27648, while the sum is 39.

The square root of 48121968 is about 6936.9999279227. Note that the first 4 decimals coincide. The cubic root of 48121968 is about 363.7316784386.

The spelling of 48121968 in words is "forty-eight million, one hundred twenty-one thousand, nine hundred sixty-eight".