16128746001 has 45 divisors (see below), whose sum is σ = 24508633611. Its totient is φ = 10570380768.

The previous prime is 16128745967. The next prime is 16128746041. The reversal of 16128746001 is 10064782161.

It is a happy number.

The square root of 16128746001 is 126999.

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

It can be written as a sum of positive squares in only one way, i.e., 9474102225 + 6654643776 = 97335^2 + 81576^2 .

It is a de Polignac number, because none of the positive numbers 2^k-16128746001 is a prime.

It is not an unprimeable number, because it can be changed into a prime (16128746041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 117728005 + ... + 117728141.

Almost surely, 2^16128746001 is an apocalyptic number.

16128746001 is the 126999-th square number.

16128746001 is the 63500-th centered octagonal number.

It is an amenable number.

16128746001 is a deficient number, since it is larger than the sum of its proper divisors (8379887610).

16128746001 is an frugal number, since it uses more digits than its factorization.

16128746001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

Multiplying 16128746001 by its sum of digits (36), we get a square (580634856036 = 761994²).

It can be divided in two parts, 16128 and 746001, that added together give a square (762129 = 873²).

The spelling of 16128746001 in words is "sixteen billion, one hundred twenty-eight million, seven hundred forty-six thousand, one".