8948121600 has 384 divisors, whose sum is σ = 32375338560. Its totient is φ = 2162688000.

The previous prime is 8948121583. The next prime is 8948121617. The reversal of 8948121600 is 61218498.

It is an interprime number because it is at equal distance from previous prime (8948121583) and next prime (8948121617).

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27033435 + ... + 27033765.

Almost surely, 2^8948121600 is an apocalyptic number.

8948121600 is a gapful number since it is divisible by the number (80) 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 8948121600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16187669280).

8948121600 is an abundant number, since it is smaller than the sum of its proper divisors (23427216960).

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

8948121600 is a wasteful number, since it uses less digits than its factorization.

8948121600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 39.

The square root of 8948121600 is about 94594.5114686893. The cubic root of 8948121600 is about 2076.0793996978.

The spelling of 8948121600 in words is "eight billion, nine hundred forty-eight million, one hundred twenty-one thousand, six hundred".