9518900134144 has 72 divisors (see below), whose sum is σ = 19149412447872. Its totient is φ = 4722290657280.

The previous prime is 9518900134127. The next prime is 9518900134147. The reversal of 9518900134144 is 4414310098159.

It is a super-2 number, since 2×9518900134144² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (9518900134147) 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 7 ways as a sum of consecutive naturals, for example, 21526537 + ... + 21964279.

It is an arithmetic number, because the mean of its divisors is an integer number (265964061776).

Almost surely, 2^{9518900134144} 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 9518900134144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9574706223936).

9518900134144 is an abundant number, since it is smaller than the sum of its proper divisors (9630512313728).

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

9518900134144 is a wasteful number, since it uses less digits than its factorization.

9518900134144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438423 (or 438409 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 49.

The spelling of 9518900134144 in words is "nine trillion, five hundred eighteen billion, nine hundred million, one hundred thirty-four thousand, one hundred forty-four".