8901652480434 has 384 divisors, whose sum is σ = 24437093990400. Its totient is φ = 2284524103680.

The previous prime is 8901652480411. The next prime is 8901652480439. The reversal of 8901652480434 is 4340842561098.

8901652480434 is a `hidden beast` number, since 8 + 9 + 0 + 1 + 6 + 524 + 80 + 4 + 34 = 666.

It is not an unprimeable number, because it can be changed into a prime (8901652480439) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4181141482 + ... + 4181143610.

It is an arithmetic number, because the mean of its divisors is an integer number (63638265600).

Almost surely, 2^{8901652480434} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8901652480434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12218546995200).

8901652480434 is an abundant number, since it is smaller than the sum of its proper divisors (15535441509966).

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

8901652480434 is a wasteful number, since it uses less digits than its factorization.

8901652480434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3310 (or 3307 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 8901652480434 in words is "eight trillion, nine hundred one billion, six hundred fifty-two million, four hundred eighty thousand, four hundred thirty-four".