1681118651520 has 2048 divisors, whose sum is σ = 7817306112000. Its totient is φ = 331245158400.

The previous prime is 1681118651507. The next prime is 1681118651533. The reversal of 1681118651520 is 251568111861.

1681118651520 is a `hidden beast` number, since 1 + 6 + 8 + 1 + 118 + 6 + 5 + 1 + 520 = 666.

It is an interprime number because it is at equal distance from previous prime (1681118651507) and next prime (1681118651533).

It is a super-3 number, since 3×1681118651520³ (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 255 ways as a sum of consecutive naturals, for example, 2186109696 + ... + 2186110464.

It is an arithmetic number, because the mean of its divisors is an integer number (3817044000).

Almost surely, 2^{1681118651520} is an apocalyptic number.

1681118651520 is a gapful number since it is divisible by the number (10) 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 1681118651520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3908653056000).

1681118651520 is an abundant number, since it is smaller than the sum of its proper divisors (6136187460480).

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

1681118651520 is a wasteful number, since it uses less digits than its factorization.

1681118651520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 899 (or 881 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 45.

The spelling of 1681118651520 in words is "one trillion, six hundred eighty-one billion, one hundred eighteen million, six hundred fifty-one thousand, five hundred twenty".