1985100652096 has 63 divisors (see below), whose sum is σ = 4080373857651. Its totient is φ = 958166651904.

The previous prime is 1985100652061. The next prime is 1985100652103. The reversal of 1985100652096 is 6902560015891.

The square root of 1985100652096 is 1408936.

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

It can be written as a sum of positive squares in 4 ways, for example, as 457246440000 + 1527854212096 = 676200^2 + 1236064^2 .

It is a Duffinian 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 8 ways as a sum of consecutive naturals, for example, 326870116 + ... + 326876188.

Almost surely, 2^{1985100652096} is an apocalyptic number.

1985100652096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1985100652096 is the 1408936-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1985100652096

1985100652096 is an abundant number, since it is smaller than the sum of its proper divisors (2095273205555).

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

1985100652096 is an frugal number, since it uses more digits than its factorization.

1985100652096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12216 (or 6104 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 52.

The spelling of 1985100652096 in words is "one trillion, nine hundred eighty-five billion, one hundred million, six hundred fifty-two thousand, ninety-six".