4148594976100 has 81 divisors (see below), whose sum is σ = 9043699647297. Its totient is φ = 1651869204480.

The previous prime is 4148594976073. The next prime is 4148594976139. The reversal of 4148594976100 is 16794958414.

It is a happy number.

The square root of 4148594976100 is 2036810.

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

It can be written as a sum of positive squares in 13 ways, for example, as 409198178596 + 3739396797504 = 639686^2 + 1933752^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 7189939012 + ... + 7189939588.

Almost surely, 2^{4148594976100} is an apocalyptic number.

4148594976100 is the 2036810-th square number.

It is an amenable number.

4148594976100 is an abundant number, since it is smaller than the sum of its proper divisors (4895104671197).

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

4148594976100 is an frugal number, since it uses more digits than its factorization.

4148594976100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1874 (or 937 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 58.

The spelling of 4148594976100 in words is "four trillion, one hundred forty-eight billion, five hundred ninety-four million, nine hundred seventy-six thousand, one hundred".