48978116100 has 135 divisors (see below), whose sum is σ = 158832295237. Its totient is φ = 13055519520.

The previous prime is 48978116093. The next prime is 48978116141. The reversal of 48978116100 is 161187984.

It is a happy number.

The square root of 48978116100 is 221310.

It is a perfect power (a square), and thus also a powerful number.

48978116100 is a `hidden beast` number, since 489 + 7 + 8 + 1 + 161 + 0 + 0 = 666.

48978116100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 17632121796 + 31345994304 = 132786^2 + 177048^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 19916671 + ... + 19919129.

Almost surely, 2^48978116100 is an apocalyptic number.

48978116100 is the 221310-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48978116100

48978116100 is an abundant number, since it is smaller than the sum of its proper divisors (109854179137).

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

48978116100 is an equidigital number, since it uses as much as digits as its factorization.

48978116100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4944 (or 2469 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 45.

The spelling of 48978116100 in words is "forty-eight billion, nine hundred seventy-eight million, one hundred sixteen thousand, one hundred".