986784736396900 has 243 divisors, whose sum is σ = 2499029121275211. Its totient is φ = 337229248836480.

The previous prime is 986784736396871. The next prime is 986784736397017. The reversal of 986784736396900 is 9693637487689.

The square root of 986784736396900 is 31413130.

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 588956500517476 + 397828235879424 = 24268426^2 + 19945632^2 .

It is a super-2 number, since 2×986784736396900² (a number of 31 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 986784736396799 and 986784736396808.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 974121160794 + ... + 974121161806.

Almost surely, 2^{986784736396900} is an apocalyptic number.

986784736396900 is the 31413130-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 986784736396900

986784736396900 is an abundant number, since it is smaller than the sum of its proper divisors (1512244384878311).

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

986784736396900 is an equidigital number, since it uses as much as digits as its factorization.

986784736396900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2940 (or 1470 counting only the distinct ones).

The product of its (nonzero) digits is 17777055744, while the sum is 85.

The spelling of 986784736396900 in words is "nine hundred eighty-six trillion, seven hundred eighty-four billion, seven hundred thirty-six million, three hundred ninety-six thousand, nine hundred".