1480884134688 has 192 divisors, whose sum is σ = 4937195531520. Its totient is φ = 423031320576.

The previous prime is 1480884134671. The next prime is 1480884134699. The reversal of 1480884134688 is 8864314880841.

1480884134688 is a `hidden beast` number, since 1 + 4 + 80 + 8 + 84 + 13 + 468 + 8 = 666.

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

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 31 ways as a sum of consecutive naturals, for example, 37822770 + ... + 37861902.

It is an arithmetic number, because the mean of its divisors is an integer number (25714560060).

Almost surely, 2^{1480884134688} is an apocalyptic number.

1480884134688 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 1480884134688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2468597765760).

1480884134688 is an abundant number, since it is smaller than the sum of its proper divisors (3456311396832).

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

1480884134688 is a wasteful number, since it uses less digits than its factorization.

1480884134688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45416 (or 45402 counting only the distinct ones).

The product of its (nonzero) digits is 37748736, while the sum is 63.

The spelling of 1480884134688 in words is "one trillion, four hundred eighty billion, eight hundred eighty-four million, one hundred thirty-four thousand, six hundred eighty-eight".