49582613779296 has 48 divisors (see below), whose sum is σ = 140166235110384. Its totient is φ = 15256188854784.

The previous prime is 49582613779291. The next prime is 49582613779333. The reversal of 49582613779296 is 69297731628594.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (78).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49582613779291) 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 7 ways as a sum of consecutive naturals, for example, 19864827991 + ... + 19864830486.

It is an arithmetic number, because the mean of its divisors is an integer number (2920129898133).

Almost surely, 2^{49582613779296} is an apocalyptic number.

It is an amenable number.

49582613779296 is an abundant number, since it is smaller than the sum of its proper divisors (90583621331088).

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

49582613779296 is a wasteful number, since it uses less digits than its factorization.

49582613779296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39729658503 (or 39729658495 counting only the distinct ones).

The product of its digits is 2469035520, while the sum is 78.

The spelling of 49582613779296 in words is "forty-nine trillion, five hundred eighty-two billion, six hundred thirteen million, seven hundred seventy-nine thousand, two hundred ninety-six".