1397046828672 has 1344 divisors, whose sum is σ = 5116244160960. Its totient is φ = 374661365760.

The previous prime is 1397046828637. The next prime is 1397046828679. The reversal of 1397046828672 is 2768286407931.

1397046828672 is a `hidden beast` number, since 1 + 3 + 97 + 0 + 468 + 2 + 86 + 7 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (1397046828679) by changing a digit.

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 167 ways as a sum of consecutive naturals, for example, 23678759779 + ... + 23678759837.

Almost surely, 2^{1397046828672} is an apocalyptic number.

1397046828672 is a gapful number since it is divisible by the number (12) 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 1397046828672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2558122080480).

1397046828672 is an abundant number, since it is smaller than the sum of its proper divisors (3719197332288).

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

1397046828672 is an equidigital number, since it uses as much as digits as its factorization.

1397046828672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 63.

The spelling of 1397046828672 in words is "one trillion, three hundred ninety-seven billion, forty-six million, eight hundred twenty-eight thousand, six hundred seventy-two".