16648740900 has 729 divisors, whose sum is σ = 63696890803. Its totient is φ = 3633484800.

The previous prime is 16648740869. The next prime is 16648740943. The reversal of 16648740900 is 904784661.

The square root of 16648740900 is 129030.

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

16648740900 is a `hidden beast` number, since 166 + 4 + 87 + 409 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 389430756 + 16259310144 = 19734^2 + 127512^2 .

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 723858289 + ... + 723858311.

Almost surely, 2^16648740900 is an apocalyptic number.

16648740900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

16648740900 is the 129030-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16648740900

16648740900 is an abundant number, since it is smaller than the sum of its proper divisors (47048149903).

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

16648740900 is a wasteful number, since it uses less digits than its factorization.

16648740900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 16648740900 in words is "sixteen billion, six hundred forty-eight million, seven hundred forty thousand, nine hundred".