49068338893056 has 288 divisors, whose sum is σ = 165843360184320. Its totient is φ = 14018633680896.

The previous prime is 49068338893033. The next prime is 49068338893081. The reversal of 49068338893056 is 65039883386094.

49068338893056 is a `hidden beast` number, since 4 + 90 + 6 + 83 + 388 + 9 + 30 + 56 = 666.

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

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

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1313268231 + ... + 1313305593.

It is an arithmetic number, because the mean of its divisors is an integer number (575845000640).

Almost surely, 2^{49068338893056} 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 49068338893056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82921680092160).

49068338893056 is an abundant number, since it is smaller than the sum of its proper divisors (116775021291264).

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

49068338893056 is a wasteful number, since it uses less digits than its factorization.

49068338893056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64538 (or 64518 counting only the distinct ones).

The product of its (nonzero) digits is 806215680, while the sum is 72.

The spelling of 49068338893056 in words is "forty-nine trillion, sixty-eight billion, three hundred thirty-eight million, eight hundred ninety-three thousand, fifty-six".