1484904335104 has 72 divisors (see below), whose sum is σ = 3098101118112. Its totient is φ = 708972380160.

The previous prime is 1484904335087. The next prime is 1484904335111. The reversal of 1484904335104 is 4015334094841.

It is a hoax number, since the sum of its digits (46) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3278944 + ... + 3704224.

It is an arithmetic number, because the mean of its divisors is an integer number (43029182196).

Almost surely, 2^{1484904335104} 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 1484904335104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1549050559056).

1484904335104 is an abundant number, since it is smaller than the sum of its proper divisors (1613196783008).

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

1484904335104 is an equidigital number, since it uses as much as digits as its factorization.

1484904335104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425913 (or 425899 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 46.

The spelling of 1484904335104 in words is "one trillion, four hundred eighty-four billion, nine hundred four million, three hundred thirty-five thousand, one hundred four".