4484828804148 has 384 divisors, whose sum is σ = 15269474304000. Its totient is φ = 1127310307200.

The previous prime is 4484828804129. The next prime is 4484828804153. The reversal of 4484828804148 is 8414088284844.

4484828804148 is a `hidden beast` number, since 4 + 4 + 8 + 482 + 8 + 8 + 0 + 4 + 148 = 666.

It is a super-2 number, since 2×4484828804148² (a number of 26 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

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 127 ways as a sum of consecutive naturals, for example, 12454486 + ... + 12809522.

It is an arithmetic number, because the mean of its divisors is an integer number (39764256000).

Almost surely, 2^{4484828804148} 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 4484828804148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7634737152000).

4484828804148 is an abundant number, since it is smaller than the sum of its proper divisors (10784645499852).

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

4484828804148 is a wasteful number, since it uses less digits than its factorization.

4484828804148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355113 (or 355091 counting only the distinct ones).

The product of its (nonzero) digits is 67108864, while the sum is 63.

The spelling of 4484828804148 in words is "four trillion, four hundred eighty-four billion, eight hundred twenty-eight million, eight hundred four thousand, one hundred forty-eight".