49292436361 has 45 divisors (see below), whose sum is σ = 60420009671. Its totient is φ = 40208528976.

The previous prime is 49292436331. The next prime is 49292436379. The reversal of 49292436361 is 16363429294.

It is a happy number.

The square root of 49292436361 is 222019.

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

It can be written as a sum of positive squares in only one way, i.e., 48296655225 + 995781136 = 219765^2 + 31556^2 .

It is not a de Polignac number, because 49292436361 - 2¹³ = 49292428169 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (49292436301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 250215315 + ... + 250215511.

Almost surely, 2^49292436361 is an apocalyptic number.

49292436361 is the 222019-th square number.

49292436361 is the 111010-th centered octagonal number.

It is an amenable number.

49292436361 is a deficient number, since it is larger than the sum of its proper divisors (11127573310).

49292436361 is an frugal number, since it uses more digits than its factorization.

49292436361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468 (or 227 counting only the distinct ones).

The product of its digits is 1679616, while the sum is 49.

Multiplying 49292436361 by its sum of digits (49), we get a square (2415329381689 = 1554133²).

49292436361 divided by its sum of digits (49) gives a square (1005968089 = 31717²).

The spelling of 49292436361 in words is "forty-nine billion, two hundred ninety-two million, four hundred thirty-six thousand, three hundred sixty-one".