4503869806464 has 576 divisors, whose sum is σ = 16314610515840. Its totient is φ = 1230861671424.

The previous prime is 4503869806451. The next prime is 4503869806613. The reversal of 4503869806464 is 4646089683054.

4503869806464 is a `hidden beast` number, since 4 + 5 + 0 + 3 + 86 + 98 + 0 + 6 + 464 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 34989967 + ... + 35118449.

It is an arithmetic number, because the mean of its divisors is an integer number (28323976590).

Almost surely, 2^{4503869806464} 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 4503869806464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8157305257920).

4503869806464 is an abundant number, since it is smaller than the sum of its proper divisors (11810740709376).

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

4503869806464 is a wasteful number, since it uses less digits than its factorization.

4503869806464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128549 (or 128518 counting only the distinct ones).

The product of its (nonzero) digits is 119439360, while the sum is 63.

The spelling of 4503869806464 in words is "four trillion, five hundred three billion, eight hundred sixty-nine million, eight hundred six thousand, four hundred sixty-four".