9900954648 has 160 divisors (see below), whose sum is σ = 29982173760. Its totient is φ = 3034506240.

The previous prime is 9900954643. The next prime is 9900954673. The reversal of 9900954648 is 8464590099.

9900954648 is a `hidden beast` number, since 9 + 90 + 0 + 9 + 546 + 4 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 9900954594 and 9900954603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9900954643) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2280736 + ... + 2285072.

It is an arithmetic number, because the mean of its divisors is an integer number (187388586).

Almost surely, 2^9900954648 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 9900954648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14991086880).

9900954648 is an abundant number, since it is smaller than the sum of its proper divisors (20081219112).

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

9900954648 is a wasteful number, since it uses less digits than its factorization.

9900954648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4639 (or 4626 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The square root of 9900954648 is about 99503.5408817194. The cubic root of 9900954648 is about 2147.2981852528.

The spelling of 9900954648 in words is "nine billion, nine hundred million, nine hundred fifty-four thousand, six hundred forty-eight".