49804148736000 has 960 divisors, whose sum is σ = 190161039182400. Its totient is φ = 12497348198400.

The previous prime is 49804148735977. The next prime is 49804148736019. The reversal of 49804148736000 is 63784140894.

49804148736000 is a `hidden beast` number, since 4 + 98 + 0 + 41 + 487 + 36 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×49804148736000² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 10027005517 + ... + 10027010483.

It is an arithmetic number, because the mean of its divisors is an integer number (198084415815).

Almost surely, 2^{49804148736000} is an apocalyptic number.

49804148736000 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 49804148736000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95080519591200).

49804148736000 is an abundant number, since it is smaller than the sum of its proper divisors (140356890446400).

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

49804148736000 is an frugal number, since it uses more digits than its factorization.

49804148736000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5043 (or 4994 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 49804148736000 in words is "forty-nine trillion, eight hundred four billion, one hundred forty-eight million, seven hundred thirty-six thousand".