4484891867904 has 864 divisors, whose sum is σ = 16010135930880. Its totient is φ = 1178935492608.

The previous prime is 4484891867891. The next prime is 4484891867921. The reversal of 4484891867904 is 4097681984844.

4484891867904 is a `hidden beast` number, since 4 + 48 + 489 + 18 + 6 + 7 + 90 + 4 = 666.

It is a super-2 number, since 2×4484891867904² (a number of 26 digits) contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 1973114512 + ... + 1973116784.

It is an arithmetic number, because the mean of its divisors is an integer number (18530249920).

Almost surely, 2^{4484891867904} 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 4484891867904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8005067965440).

4484891867904 is an abundant number, since it is smaller than the sum of its proper divisors (11525244062976).

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

4484891867904 is a wasteful number, since it uses less digits than its factorization.

4484891867904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2505 (or 2488 counting only the distinct ones).

The product of its (nonzero) digits is 445906944, while the sum is 72.

The spelling of 4484891867904 in words is "four trillion, four hundred eighty-four billion, eight hundred ninety-one million, eight hundred sixty-seven thousand, nine hundred four".