1997649053568 has 1152 divisors, whose sum is σ = 7424243114400. Its totient is φ = 526866923520.

The previous prime is 1997649053551. The next prime is 1997649053593. The reversal of 1997649053568 is 8653509467991.

1997649053568 is a `hidden beast` number, since 1 + 9 + 9 + 7 + 6 + 4 + 9 + 0 + 53 + 568 = 666.

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

It is a super-3 number, since 3×1997649053568³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 1997649053496 and 1997649053505.

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 143 ways as a sum of consecutive naturals, for example, 2506460146 + ... + 2506460942.

Almost surely, 2^{1997649053568} is an apocalyptic number.

1997649053568 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 1997649053568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3712121557200).

1997649053568 is an abundant number, since it is smaller than the sum of its proper divisors (5426594060832).

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

1997649053568 is a wasteful number, since it uses less digits than its factorization.

1997649053568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 913 (or 869 counting only the distinct ones).

The product of its (nonzero) digits is 440899200, while the sum is 72.

The spelling of 1997649053568 in words is "one trillion, nine hundred ninety-seven billion, six hundred forty-nine million, fifty-three thousand, five hundred sixty-eight".