49769742342096 has 320 divisors, whose sum is σ = 168042312936960. Its totient is φ = 13805577584640.

The previous prime is 49769742342043. The next prime is 49769742342101. The reversal of 49769742342096 is 69024324796794.

It is a happy number.

49769742342096 is a `hidden beast` number, since 4 + 9 + 7 + 6 + 97 + 4 + 23 + 420 + 96 = 666.

49769742342096 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 51097920 + ... + 52062816.

It is an arithmetic number, because the mean of its divisors is an integer number (525132227928).

Almost surely, 2^{49769742342096} 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 49769742342096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84021156468480).

49769742342096 is an abundant number, since it is smaller than the sum of its proper divisors (118272570594864).

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

49769742342096 is a wasteful number, since it uses less digits than its factorization.

49769742342096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 965419 (or 965407 counting only the distinct ones).

The product of its (nonzero) digits is 987614208, while the sum is 72.

The spelling of 49769742342096 in words is "forty-nine trillion, seven hundred sixty-nine billion, seven hundred forty-two million, three hundred forty-two thousand, ninety-six".