48204398025 has 405 divisors, whose sum is σ = 113095564527. Its totient is φ = 20234188800.

The previous prime is 48204398017. The next prime is 48204398057. The reversal of 48204398025 is 52089340284.

The square root of 48204398025 is 219555.

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 41742167481 + 6462230544 = 204309^2 + 80388^2 .

It is a tau number, because it is divible by the number of its divisors (405).

It is not a de Polignac number, because 48204398025 - 2³ = 48204398017 is a prime.

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

It is an unprimeable number.

It is a polite number, since it can be written in 404 ways as a sum of consecutive naturals, for example, 1175717005 + ... + 1175717045.

Almost surely, 2^48204398025 is an apocalyptic number.

48204398025 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

48204398025 is the 219555-th square number.

48204398025 is the 109778-th centered octagonal number.

It is an amenable number.

48204398025 is an abundant number, since it is smaller than the sum of its proper divisors (64891166502).

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

48204398025 is a wasteful number, since it uses less digits than its factorization.

48204398025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 48204398025 in words is "forty-eight billion, two hundred four million, three hundred ninety-eight thousand, twenty-five".