1681545001536 has 189 divisors, whose sum is σ = 4895118877129. Its totient is φ = 551894246400.

The previous prime is 1681545001469. The next prime is 1681545001537. The reversal of 1681545001536 is 6351005451861.

It is a happy number.

The square root of 1681545001536 is 1296744.

It is a perfect power (a square), and thus also a powerful number.

1681545001536 is a `hidden beast` number, since 1 + 6 + 81 + 54 + 500 + 15 + 3 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4416399936 + 1677128601600 = 66456^2 + 1295040^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1681545001491 and 1681545001500.

It is not an unprimeable number, because it can be changed into a prime (1681545001537) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2209651396 + ... + 2209652156.

Almost surely, 2^{1681545001536} is an apocalyptic number.

1681545001536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1681545001536 is the 1296744-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1681545001536

1681545001536 is an abundant number, since it is smaller than the sum of its proper divisors (3213573875593).

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

1681545001536 is an frugal number, since it uses more digits than its factorization.

1681545001536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1682 (or 837 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 45.

The spelling of 1681545001536 in words is "one trillion, six hundred eighty-one billion, five hundred forty-five million, one thousand, five hundred thirty-six".