9286645397904 has 1280 divisors, whose sum is σ = 34109816832000. Its totient is φ = 2389169779200.

The previous prime is 9286645397881. The next prime is 9286645397927. The reversal of 9286645397904 is 4097935466829.

9286645397904 is a `hidden beast` number, since 9 + 2 + 86 + 6 + 4 + 539 + 7 + 9 + 0 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (9286645397881) and next prime (9286645397927).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 8512048399 + ... + 8512049489.

It is an arithmetic number, because the mean of its divisors is an integer number (26648294400).

Almost surely, 2^{9286645397904} 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 9286645397904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17054908416000).

9286645397904 is an abundant number, since it is smaller than the sum of its proper divisors (24823171434096).

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

9286645397904 is a wasteful number, since it uses less digits than its factorization.

9286645397904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1236 (or 1212 counting only the distinct ones).

The product of its (nonzero) digits is 705438720, while the sum is 72.

The spelling of 9286645397904 in words is "nine trillion, two hundred eighty-six billion, six hundred forty-five million, three hundred ninety-seven thousand, nine hundred four".