9954638848000 has 896 divisors, whose sum is σ = 31185196204032. Its totient is φ = 3081830400000.

The previous prime is 9954638847953. The next prime is 9954638848043. The reversal of 9954638848000 is 8488364599.

It is a tau number, because it is divible by the number of its divisors (896).

It is a super-2 number, since 2×9954638848000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15059967670 + ... + 15059968330.

Almost surely, 2^{9954638848000} 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 9954638848000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15592598102016).

9954638848000 is an abundant number, since it is smaller than the sum of its proper divisors (21230557356032).

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

9954638848000 is a wasteful number, since it uses less digits than its factorization.

9954638848000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 911 (or 877 counting only the distinct ones).

The product of its (nonzero) digits is 59719680, while the sum is 64.

The spelling of 9954638848000 in words is "nine trillion, nine hundred fifty-four billion, six hundred thirty-eight million, eight hundred forty-eight thousand".