1797387411456 has 672 divisors, whose sum is σ = 6671736902880. Its totient is φ = 473999081472.

The previous prime is 1797387411419. The next prime is 1797387411467. The reversal of 1797387411456 is 6541147837971.

It is a happy number.

1797387411456 is a `hidden beast` number, since 1 + 7 + 97 + 3 + 87 + 4 + 11 + 456 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 1797387411393 and 1797387411402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 140887830 + ... + 140900586.

It is an arithmetic number, because the mean of its divisors is an integer number (9928179915).

Almost surely, 2^{1797387411456} is an apocalyptic number.

1797387411456 is a gapful number since it is divisible by the number (16) 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 1797387411456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3335868451440).

1797387411456 is an abundant number, since it is smaller than the sum of its proper divisors (4874349491424).

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

1797387411456 is a wasteful number, since it uses less digits than its factorization.

1797387411456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12819 (or 12782 counting only the distinct ones).

The product of its digits is 35562240, while the sum is 63.

The spelling of 1797387411456 in words is "one trillion, seven hundred ninety-seven billion, three hundred eighty-seven million, four hundred eleven thousand, four hundred fifty-six".