246056149798320 has 160 divisors (see below), whose sum is σ = 765904230063360. Its totient is φ = 65346172503040.

The previous prime is 246056149798309. The next prime is 246056149798321. The reversal of 246056149798320 is 23897941650642.

It is not an unprimeable number, because it can be changed into a prime (246056149798321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66573511 + ... + 70172249.

It is an arithmetic number, because the mean of its divisors is an integer number (4786901437896).

It is a 1-persistent number, because it is pandigital, but 2⋅246056149798320 = 492112299596640 is not.

Almost surely, 2^{246056149798320} is an apocalyptic number.

246056149798320 is a gapful number since it is divisible by the number (20) 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 246056149798320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382952115031680).

246056149798320 is an abundant number, since it is smaller than the sum of its proper divisors (519848080265040).

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

246056149798320 is a wasteful number, since it uses less digits than its factorization.

246056149798320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3599923 (or 3599917 counting only the distinct ones).

The product of its (nonzero) digits is 156764160, while the sum is 66.

The spelling of 246056149798320 in words is "two hundred forty-six trillion, fifty-six billion, one hundred forty-nine million, seven hundred ninety-eight thousand, three hundred twenty".