49348401025 has 81 divisors (see below), whose sum is σ = 78377813577. Its totient is φ = 30709324800.

The previous prime is 49348401007. The next prime is 49348401079. The reversal of 49348401025 is 52010484394.

The square root of 49348401025 is 222145.

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 13933677681 + 35414723344 = 118041^2 + 188188^2 .

It is not a de Polignac number, because 49348401025 - 2¹⁹ = 49347876737 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 85525537 + ... + 85526113.

Almost surely, 2^49348401025 is an apocalyptic number.

49348401025 is the 222145-th square number.

49348401025 is the 111073-rd centered octagonal number.

It is an amenable number.

49348401025 is a deficient number, since it is larger than the sum of its proper divisors (29029412552).

49348401025 is an equidigital number, since it uses as much as digits as its factorization.

49348401025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1200 (or 600 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 40.

The spelling of 49348401025 in words is "forty-nine billion, three hundred forty-eight million, four hundred one thousand, twenty-five".