8356461120 has 448 divisors, whose sum is σ = 33892784640. Its totient is φ = 1898643456.

The previous prime is 8356461109. The next prime is 8356461121. The reversal of 8356461120 is 211646538.

It is a happy number.

8356461120 is a `hidden beast` number, since 8 + 3 + 5 + 646 + 1 + 1 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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 (8356461121) 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, 14091544 + ... + 14092136.

Almost surely, 2^8356461120 is an apocalyptic number.

8356461120 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 8356461120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16946392320).

8356461120 is an abundant number, since it is smaller than the sum of its proper divisors (25536323520).

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

8356461120 is a wasteful number, since it uses less digits than its factorization.

8356461120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 859 (or 843 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 8356461120 is about 91413.6812517689. The cubic root of 8356461120 is about 2029.2745043516.

The spelling of 8356461120 in words is "eight billion, three hundred fifty-six million, four hundred sixty-one thousand, one hundred twenty".