8851046400 has 675 divisors, whose sum is σ = 36987487901. Its totient is φ = 2023096320.

The previous prime is 8851046377. The next prime is 8851046401. The reversal of 8851046400 is 46401588.

The square root of 8851046400 is 94080.

It is a perfect power (a square), and thus also a powerful number.

8851046400 is a `hidden beast` number, since 8 + 8 + 5 + 1 + 0 + 4 + 640 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3186376704 + 5664669696 = 56448^2 + 75264^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (8851046401) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1264435197 + ... + 1264435203.

Almost surely, 2^8851046400 is an apocalyptic number.

8851046400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

8851046400 is the 94080-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8851046400

8851046400 is an abundant number, since it is smaller than the sum of its proper divisors (28136441501).

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

8851046400 is an frugal number, since it uses more digits than its factorization.

8851046400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The cubic root of 8851046400 is about 2068.5445205016.

Multiplying 8851046400 by its sum of digits (36), we get a square (318637670400 = 564480²).

8851046400 divided by its sum of digits (36) gives a square (245862400 = 15680²).

Adding to 8851046400 its reverse (46401588), we get a palindrome (8897447988).

The spelling of 8851046400 in words is "eight billion, eight hundred fifty-one million, forty-six thousand, four hundred".