1246970245248 has 1152 divisors, whose sum is σ = 4635005684400. Its totient is φ = 318823464960.

The previous prime is 1246970245231. The next prime is 1246970245259. The reversal of 1246970245248 is 8425420796421.

1246970245248 is a `hidden beast` number, since 1 + 2 + 4 + 6 + 97 + 0 + 24 + 524 + 8 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 65122956864 + 1181847288384 = 255192^2 + 1087128^2 .

It is a tau number, because it is divible by the number of its divisors (1152).

It is a junction number, because it is equal to n+sod(n) for n = 1246970245194 and 1246970245203.

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 143 ways as a sum of consecutive naturals, for example, 3983930340 + ... + 3983930652.

Almost surely, 2^{1246970245248} is an apocalyptic number.

1246970245248 is a gapful number since it is divisible by the number (18) 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 1246970245248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2317502842200).

1246970245248 is an abundant number, since it is smaller than the sum of its proper divisors (3388035439152).

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

1246970245248 is a wasteful number, since it uses less digits than its factorization.

1246970245248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 1246970245248 in words is "one trillion, two hundred forty-six billion, nine hundred seventy million, two hundred forty-five thousand, two hundred forty-eight".