9048639600 has 1680 divisors, whose sum is σ = 45174441984. Its totient is φ = 1679616000.

The previous prime is 9048639559. The next prime is 9048639601. The reversal of 9048639600 is 69368409.

9048639600 is a `hidden beast` number, since 9 + 0 + 4 + 8 + 6 + 39 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a super-2 number, since 2×9048639600² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9048639601) by changing a digit.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 291891585 + ... + 291891615.

Almost surely, 2^9048639600 is an apocalyptic number.

9048639600 is a gapful number since it is divisible by the number (90) 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 9048639600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22587220992).

9048639600 is an abundant number, since it is smaller than the sum of its proper divisors (36125802384).

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

9048639600 is a wasteful number, since it uses less digits than its factorization.

9048639600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 9048639600 is about 95124.3375798223. The cubic root of 9048639600 is about 2083.8242944592.

The spelling of 9048639600 in words is "nine billion, forty-eight million, six hundred thirty-nine thousand, six hundred".