104169298464 has 576 divisors, whose sum is σ = 411662684160. Its totient is φ = 24123432960.

The previous prime is 104169298463. The next prime is 104169298469. The reversal of 104169298464 is 464892961401.

104169298464 is a `hidden beast` number, since 1 + 0 + 4 + 1 + 6 + 92 + 98 + 464 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 104169298464.

It is not an unprimeable number, because it can be changed into a prime (104169298463) 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, 7155577 + ... + 7170119.

It is an arithmetic number, because the mean of its divisors is an integer number (714692160).

Almost surely, 2^104169298464 is an apocalyptic number.

104169298464 is a gapful number since it is divisible by the number (14) 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 104169298464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205831342080).

104169298464 is an abundant number, since it is smaller than the sum of its proper divisors (307493385696).

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

104169298464 is a wasteful number, since it uses less digits than its factorization.

104169298464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14613 (or 14602 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 104169298464 in words is "one hundred four billion, one hundred sixty-nine million, two hundred ninety-eight thousand, four hundred sixty-four".