8249166464 has 512 divisors, whose sum is σ = 23500800000. Its totient is φ = 2844979200.

The previous prime is 8249166463. The next prime is 8249166481. The reversal of 8249166464 is 4646619428.

It is a super-3 number, since 3×8249166464³ (a number of 31 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (8249166463) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 266102129 + ... + 266102159.

It is an arithmetic number, because the mean of its divisors is an integer number (45900000).

Almost surely, 2^8249166464 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 8249166464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11750400000).

8249166464 is an abundant number, since it is smaller than the sum of its proper divisors (15251633536).

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

8249166464 is a wasteful number, since it uses less digits than its factorization.

8249166464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 99 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 50.

The square root of 8249166464 is about 90824.9220423558. The cubic root of 8249166464 is about 2020.5519571294.

The spelling of 8249166464 in words is "eight billion, two hundred forty-nine million, one hundred sixty-six thousand, four hundred sixty-four".