8948066400 has 648 divisors, whose sum is σ = 39548343744. Its totient is φ = 1886976000.

The previous prime is 8948066357. The next prime is 8948066401. The reversal of 8948066400 is 46608498.

It is a happy number.

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 (8948066401) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 4585425 + ... + 4587375.

Almost surely, 2^8948066400 is an apocalyptic number.

8948066400 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 8948066400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19774171872).

8948066400 is an abundant number, since it is smaller than the sum of its proper divisors (30600277344).

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

8948066400 is a wasteful number, since it uses less digits than its factorization.

8948066400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2004 (or 1981 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 8948066400 is about 94594.2196965544. The cubic root of 8948066400 is about 2076.0751306522.

It can be divided in two parts, 89 and 48066400, that added together give a square (48066489 = 6933²).

The spelling of 8948066400 in words is "eight billion, nine hundred forty-eight million, sixty-six thousand, four hundred".