1397048571648 has 864 divisors, whose sum is σ = 4661951112000. Its totient is φ = 399532621824.

The previous prime is 1397048571637. The next prime is 1397048571701. The reversal of 1397048571648 is 8461758407931.

1397048571648 is a `hidden beast` number, since 1 + 3 + 97 + 0 + 485 + 7 + 1 + 64 + 8 = 666.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 3111466528 + ... + 3111466976.

It is an arithmetic number, because the mean of its divisors is an integer number (5395776750).

Almost surely, 2^{1397048571648} is an apocalyptic number.

1397048571648 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 1397048571648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2330975556000).

1397048571648 is an abundant number, since it is smaller than the sum of its proper divisors (3264902540352).

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

1397048571648 is a wasteful number, since it uses less digits than its factorization.

1397048571648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 657 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 63.

The spelling of 1397048571648 in words is "one trillion, three hundred ninety-seven billion, forty-eight million, five hundred seventy-one thousand, six hundred forty-eight".