49745623173120 has 1152 divisors, whose sum is σ = 206503011187200. Its totient is φ = 10828630720512.

The previous prime is 49745623173101. The next prime is 49745623173139. The reversal of 49745623173120 is 2137132654794.

49745623173120 is a `hidden beast` number, since 4 + 9 + 7 + 4 + 5 + 6 + 2 + 317 + 312 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (49745623173101) and next prime (49745623173139).

It is a tau number, because it is divible by the number of its divisors (1152).

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 95 ways as a sum of consecutive naturals, for example, 3457190886 + ... + 3457205274.

It is an arithmetic number, because the mean of its divisors is an integer number (179256086100).

Almost surely, 2^{49745623173120} is an apocalyptic number.

49745623173120 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 49745623173120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103251505593600).

49745623173120 is an abundant number, since it is smaller than the sum of its proper divisors (156757388014080).

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

49745623173120 is a wasteful number, since it uses less digits than its factorization.

49745623173120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14685 (or 14662 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 49745623173120 in words is "forty-nine trillion, seven hundred forty-five billion, six hundred twenty-three million, one hundred seventy-three thousand, one hundred twenty".