49719958416 has 120 divisors (see below), whose sum is σ = 141772785336. Its totient is φ = 16263475200.

The previous prime is 49719958411. The next prime is 49719958451. The reversal of 49719958416 is 61485991794.

49719958416 is a `hidden beast` number, since 49 + 7 + 1 + 9 + 9 + 584 + 1 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 18144090000 + 31575868416 = 134700^2 + 177696^2 .

It is a super-4 number, since 4×49719958416⁴ (a number of 44 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (49719958411) 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 23 ways as a sum of consecutive naturals, for example, 1628346 + ... + 1658598.

Almost surely, 2^49719958416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49719958416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70886392668).

49719958416 is an abundant number, since it is smaller than the sum of its proper divisors (92052826920).

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

49719958416 is a wasteful number, since it uses less digits than its factorization.

49719958416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30481 (or 30472 counting only the distinct ones).

The product of its digits is 19595520, while the sum is 63.

The spelling of 49719958416 in words is "forty-nine billion, seven hundred nineteen million, nine hundred fifty-eight thousand, four hundred sixteen".