54948048100 has 81 divisors (see below), whose sum is σ = 131123979273. Its totient is φ = 19971732000.

The previous prime is 54948048079. The next prime is 54948048101. The reversal of 54948048100 is 184084945.

The square root of 54948048100 is 234410.

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

It can be written as a sum of positive squares in only one way, i.e., 19781297316 + 35166750784 = 140646^2 + 187528^2 .

It is a super-2 number, since 2×54948048100² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (54948048101) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 25784035 + ... + 25786165.

Almost surely, 2^54948048100 is an apocalyptic number.

54948048100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

54948048100 is the 234410-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54948048100

54948048100 is an abundant number, since it is smaller than the sum of its proper divisors (76175931173).

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

54948048100 is a wasteful number, since it uses less digits than its factorization.

54948048100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4298 (or 2149 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 43.

The spelling of 54948048100 in words is "fifty-four billion, nine hundred forty-eight million, forty-eight thousand, one hundred".