8901816084 has 288 divisors, whose sum is σ = 28634793600. Its totient is φ = 2407309632.

The previous prime is 8901816083. The next prime is 8901816137. The reversal of 8901816084 is 4806181098.

It is a super-2 number, since 2×8901816084² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8901816083) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8143842 + ... + 8144934.

Almost surely, 2^8901816084 is an apocalyptic number.

8901816084 is a gapful number since it is divisible by the number (84) 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 8901816084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14317396800).

8901816084 is an abundant number, since it is smaller than the sum of its proper divisors (19732977516).

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

8901816084 is a wasteful number, since it uses less digits than its factorization.

8901816084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1151 (or 1124 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The square root of 8901816084 is about 94349.4360555483. The cubic root of 8901816084 is about 2072.4920459136.

The spelling of 8901816084 in words is "eight billion, nine hundred one million, eight hundred sixteen thousand, eighty-four".