4098893546592 has 480 divisors, whose sum is σ = 13128086664000. Its totient is φ = 1254513401856.

The previous prime is 4098893546563. The next prime is 4098893546593. The reversal of 4098893546592 is 2956453988904.

4098893546592 is a `hidden beast` number, since 40 + 9 + 8 + 8 + 9 + 35 + 465 + 92 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 4098893546592.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4098893546593) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1133228368 + ... + 1133231984.

It is an arithmetic number, because the mean of its divisors is an integer number (27350180550).

Almost surely, 2^{4098893546592} 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 4098893546592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6564043332000).

4098893546592 is an abundant number, since it is smaller than the sum of its proper divisors (9029193117408).

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

4098893546592 is a wasteful number, since it uses less digits than its factorization.

4098893546592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3877 (or 3834 counting only the distinct ones).

The product of its (nonzero) digits is 671846400, while the sum is 72.

The spelling of 4098893546592 in words is "four trillion, ninety-eight billion, eight hundred ninety-three million, five hundred forty-six thousand, five hundred ninety-two".