49814346816000 has 960 divisors, whose sum is σ = 200380868303616. Its totient is φ = 12261943296000.

The previous prime is 49814346815977. The next prime is 49814346816007. The reversal of 49814346816000 is 61864341894.

49814346816000 is a `hidden beast` number, since 4 + 9 + 8 + 14 + 3 + 468 + 160 + 0 + 0 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (49814346816007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 202052805 + ... + 202299195.

Almost surely, 2^{49814346816000} is an apocalyptic number.

49814346816000 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 49814346816000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100190434151808).

49814346816000 is an abundant number, since it is smaller than the sum of its proper divisors (150566521487616).

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

49814346816000 is an equidigital number, since it uses as much as digits as its factorization.

49814346816000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246452 (or 246414 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 49814346816000 in words is "forty-nine trillion, eight hundred fourteen billion, three hundred forty-six million, eight hundred sixteen thousand".