49119677568 has 288 divisors, whose sum is σ = 157334633820. Its totient is φ = 14621921280.

The previous prime is 49119677567. The next prime is 49119677671. The reversal of 49119677568 is 86577691194.

49119677568 is a `hidden beast` number, since 4 + 9 + 1 + 1 + 9 + 67 + 7 + 568 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 48826857024 + 292820544 = 220968^2 + 17112^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (49119677567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 14390230 + ... + 14393642.

Almost surely, 2^49119677568 is an apocalyptic number.

49119677568 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49119677568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78667316910).

49119677568 is an abundant number, since it is smaller than the sum of its proper divisors (108214956252).

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

49119677568 is a wasteful number, since it uses less digits than its factorization.

49119677568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3508 (or 3462 counting only the distinct ones).

The product of its digits is 22861440, while the sum is 63.

The spelling of 49119677568 in words is "forty-nine billion, one hundred nineteen million, six hundred seventy-seven thousand, five hundred sixty-eight".