10188006465 has 64 divisors (see below), whose sum is σ = 20489527296. Its totient is φ = 4207617792.

The previous prime is 10188006457. The next prime is 10188006467. The reversal of 10188006465 is 56460088101.

10188006465 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10188006465 - 2³ = 10188006457 is a prime.

It is a super-3 number, since 3×10188006465³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10188006467) 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 63 ways as a sum of consecutive naturals, for example, 15247 + ... + 143556.

It is an arithmetic number, because the mean of its divisors is an integer number (320148864).

Almost surely, 2^10188006465 is an apocalyptic number.

10188006465 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10188006465 is an abundant number, since it is smaller than the sum of its proper divisors (10301520831).

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

10188006465 is a wasteful number, since it uses less digits than its factorization.

10188006465 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158878.

The product of its (nonzero) digits is 46080, while the sum is 39.

The spelling of 10188006465 in words is "ten billion, one hundred eighty-eight million, six thousand, four hundred sixty-five".