49748663500800 has 3072 divisors, whose sum is σ = 202209343488000. Its totient is φ = 10657726464000.

The previous prime is 49748663500729. The next prime is 49748663500817. The reversal of 49748663500800 is 800536684794.

It is a tau number, because it is divible by the number of its divisors (3072).

It is a super-2 number, since 2×49748663500800² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

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 191 ways as a sum of consecutive naturals, for example, 558973747156 + ... + 558973747244.

It is an arithmetic number, because the mean of its divisors is an integer number (65823354000).

Almost surely, 2^{49748663500800} is an apocalyptic number.

49748663500800 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 49748663500800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101104671744000).

49748663500800 is an abundant number, since it is smaller than the sum of its proper divisors (152460679987200).

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

49748663500800 is a wasteful number, since it uses less digits than its factorization.

49748663500800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 60.

The spelling of 49748663500800 in words is "forty-nine trillion, seven hundred forty-eight billion, six hundred sixty-three million, five hundred thousand, eight hundred".