8102481408 has 640 divisors, whose sum is σ = 29457162240. Its totient is φ = 2149908480.

The previous prime is 8102481407. The next prime is 8102481421. The reversal of 8102481408 is 8041842018.

It is a happy number.

8102481408 is a `hidden beast` number, since 8 + 1 + 0 + 248 + 1 + 408 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8102481403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 110992860 + ... + 110992932.

It is an arithmetic number, because the mean of its divisors is an integer number (46026816).

Almost surely, 2^8102481408 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 8102481408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14728581120).

8102481408 is an abundant number, since it is smaller than the sum of its proper divisors (21354680832).

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

8102481408 is a wasteful number, since it uses less digits than its factorization.

8102481408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The square root of 8102481408 is about 90013.7845443685. The cubic root of 8102481408 is about 2008.5039078612.

The spelling of 8102481408 in words is "eight billion, one hundred two million, four hundred eighty-one thousand, four hundred eight".