16389129625801 has 27 divisors (see below), whose sum is σ = 17550015321159. Its totient is φ = 15302759220000.

The previous prime is 16389129625769. The next prime is 16389129625807. The reversal of 16389129625801 is 10852692198361.

The square root of 16389129625801 is 4048349.

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., 8815845784201 + 7573283841600 = 2969149^2 + 2751960^2 .

It is not a de Polignac number, because 16389129625801 - 2⁵ = 16389129625769 is a prime.

It is a super-3 number, since 3×16389129625801³ (a number of 41 digits) contains 333 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 16389129625801.

It is not an unprimeable number, because it can be changed into a prime (16389129625807) 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, 5461221301 + ... + 5461224301.

Almost surely, 2^{16389129625801} is an apocalyptic number.

16389129625801 is the 4048349-th square number.

16389129625801 is the 2024175-th centered octagonal number.

It is an amenable number.

16389129625801 is a deficient number, since it is larger than the sum of its proper divisors (1160885695358).

16389129625801 is an frugal number, since it uses more digits than its factorization.

16389129625801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6182 (or 3091 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 61.

The spelling of 16389129625801 in words is "sixteen trillion, three hundred eighty-nine billion, one hundred twenty-nine million, six hundred twenty-five thousand, eight hundred one".