9902638144 has 63 divisors (see below), whose sum is σ = 22871671173. Its totient is φ = 4241599488.

The previous prime is 9902638117. The next prime is 9902638147. The reversal of 9902638144 is 4418362099.

The square root of 9902638144 is 99512.

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., 5018305600 + 4884332544 = 70840^2 + 69888^2 .

It is a super-2 number, since 2×9902638144² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 9902638094 and 9902638103.

It is not an unprimeable number, because it can be changed into a prime (9902638147) 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 8 ways as a sum of consecutive naturals, for example, 5571784 + ... + 5573560.

Almost surely, 2^9902638144 is an apocalyptic number.

9902638144 is the 99512-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9902638144

9902638144 is an abundant number, since it is smaller than the sum of its proper divisors (12969033029).

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

9902638144 is an frugal number, since it uses more digits than its factorization.

9902638144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3580 (or 1786 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 46.

The cubic root of 9902638144 is about 2147.4198827108.

The spelling of 9902638144 in words is "nine billion, nine hundred two million, six hundred thirty-eight thousand, one hundred forty-four".