49816346112000 has 1664 divisors, whose sum is σ = 203223538103040. Its totient is φ = 11961630720000.

The previous prime is 49816346111969. The next prime is 49816346112017. The reversal of 49816346112000 is 21164361894.

49816346112000 is a `hidden beast` number, since 4 + 9 + 8 + 1 + 6 + 3 + 4 + 611 + 20 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1664).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 127 ways as a sum of consecutive naturals, for example, 7368188620 + ... + 7368195380.

It is an arithmetic number, because the mean of its divisors is an integer number (122129530110).

Almost surely, 2^{49816346112000} is an apocalyptic number.

49816346112000 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 49816346112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101611769051520).

49816346112000 is an abundant number, since it is smaller than the sum of its proper divisors (153407191991040).

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

49816346112000 is a wasteful number, since it uses less digits than its factorization.

49816346112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6863 (or 6825 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 49816346112000 in words is "forty-nine trillion, eight hundred sixteen billion, three hundred forty-six million, one hundred twelve thousand".