10144502016 has 144 divisors (see below), whose sum is σ = 29612556288. Its totient is φ = 3057510400.

The previous prime is 10144501967. The next prime is 10144502023. The reversal of 10144502016 is 61020544101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1610425 + ... + 1616711.

It is an arithmetic number, because the mean of its divisors is an integer number (205642752).

Almost surely, 2^10144502016 is an apocalyptic number.

10144502016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10144502016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14806278144).

10144502016 is an abundant number, since it is smaller than the sum of its proper divisors (19468054272).

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

10144502016 is a wasteful number, since it uses less digits than its factorization.

10144502016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6508 (or 6494 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The spelling of 10144502016 in words is "ten billion, one hundred forty-four million, five hundred two thousand, sixteen".