48146806664100 has 81 divisors (see below), whose sum is σ = 150914143146403. Its totient is φ = 12839092933440.

The previous prime is 48146806664053. The next prime is 48146806664123. The reversal of 48146806664100 is 146660864184.

The square root of 48146806664100 is 6938790.

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

It can be written as a sum of positive squares in 4 ways, for example, as 8100387669924 + 40046418994176 = 2846118^2 + 6328224^2 .

It is a super-2 number, since 2×48146806664100² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 208048054 + ... + 208279346.

Almost surely, 2^{48146806664100} is an apocalyptic number.

48146806664100 is the 6938790-th square number.

It is an amenable number.

48146806664100 is an abundant number, since it is smaller than the sum of its proper divisors (102767336482303).

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

48146806664100 is an frugal number, since it uses more digits than its factorization.

48146806664100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462606 (or 231303 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 48146806664100 in words is "forty-eight trillion, one hundred forty-six billion, eight hundred six million, six hundred sixty-four thousand, one hundred".