10145814328 has 64 divisors (see below), whose sum is σ = 20756988000. Its totient is φ = 4621197312.

The previous prime is 10145814311. The next prime is 10145814347. The reversal of 10145814328 is 82341854101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4124763 + ... + 4127221.

Almost surely, 2^10145814328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10145814328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10378494000).

10145814328 is an abundant number, since it is smaller than the sum of its proper divisors (10611173672).

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

10145814328 is a wasteful number, since it uses less digits than its factorization.

10145814328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2984 (or 2980 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 37.

The spelling of 10145814328 in words is "ten billion, one hundred forty-five million, eight hundred fourteen thousand, three hundred twenty-eight".