49358394955809 has 135 divisors (see below), whose sum is σ = 76497488790723. Its totient is φ = 31716156463200.

The previous prime is 49358394955769. The next prime is 49358394955847. The reversal of 49358394955809 is 90855949385394.

The square root of 49358394955809 is 7025553.

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

49358394955809 is a `hidden beast` number, since 4 + 9 + 3 + 58 + 3 + 9 + 4 + 9 + 558 + 0 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1605043211409 + 47753351744400 = 1266903^2 + 6910380^2 .

It is not a de Polignac number, because 49358394955809 - 2⁹ = 49358394955297 is a prime.

It is a super-4 number, since 4×49358394955809⁴ (a number of 56 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is not an unprimeable number, because it can be changed into a prime (49358394951809) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 258420915904 + ... + 258420916094.

Almost surely, 2^{49358394955809} is an apocalyptic number.

49358394955809 is the 7025553-rd square number.

49358394955809 is the 3512777-th centered octagonal number.

It is an amenable number.

49358394955809 is a deficient number, since it is larger than the sum of its proper divisors (27139093834914).

49358394955809 is an frugal number, since it uses more digits than its factorization.

49358394955809 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 650 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 7558272000, while the sum is 81.

49358394955809 divided by its sum of digits (81) gives a square (609362900689 = 780617²).

The spelling of 49358394955809 in words is "forty-nine trillion, three hundred fifty-eight billion, three hundred ninety-four million, nine hundred fifty-five thousand, eight hundred nine".