1484044137648 has 240 divisors, whose sum is σ = 4515075302400. Its totient is φ = 453517194240.

The previous prime is 1484044137637. The next prime is 1484044137673. The reversal of 1484044137648 is 8467314404841.

1484044137648 is a `hidden beast` number, since 1 + 48 + 404 + 4 + 137 + 64 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1484044137594 and 1484044137603.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11379853 + ... + 11509523.

It is an arithmetic number, because the mean of its divisors is an integer number (18812813760).

Almost surely, 2^{1484044137648} is an apocalyptic number.

1484044137648 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1484044137648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2257537651200).

1484044137648 is an abundant number, since it is smaller than the sum of its proper divisors (3031031164752).

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

1484044137648 is a wasteful number, since it uses less digits than its factorization.

1484044137648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129840 (or 129831 counting only the distinct ones).

The product of its (nonzero) digits is 8257536, while the sum is 54.

The spelling of 1484044137648 in words is "one trillion, four hundred eighty-four billion, forty-four million, one hundred thirty-seven thousand, six hundred forty-eight".