49154368808160 has 5184 divisors, whose sum is σ = 237122415968256. Its totient is φ = 9560105533440.

The previous prime is 49154368808131. The next prime is 49154368808173. The reversal of 49154368808160 is 6180886345194.

49154368808160 is a `hidden beast` number, since 4 + 9 + 1 + 543 + 6 + 8 + 8 + 0 + 81 + 6 + 0 = 666.

It is a super-2 number, since 2×49154368808160² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

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 863 ways as a sum of consecutive naturals, for example, 387042274017 + ... + 387042274143.

It is an arithmetic number, because the mean of its divisors is an integer number (45741206784).

Almost surely, 2^{49154368808160} is an apocalyptic number.

49154368808160 is a gapful number since it is divisible by the number (40) 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 49154368808160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118561207984128).

49154368808160 is an abundant number, since it is smaller than the sum of its proper divisors (187968047160096).

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

49154368808160 is a wasteful number, since it uses less digits than its factorization.

49154368808160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 39813120, while the sum is 63.

The spelling of 49154368808160 in words is "forty-nine trillion, one hundred fifty-four billion, three hundred sixty-eight million, eight hundred eight thousand, one hundred sixty".