1480881688704 has 448 divisors, whose sum is σ = 4861066085280. Its totient is φ = 445434163200.

The previous prime is 1480881688697. The next prime is 1480881688723. The reversal of 1480881688704 is 4078861880841.

1480881688704 is a `hidden beast` number, since 1 + 480 + 8 + 8 + 1 + 6 + 88 + 70 + 4 = 666.

It is a super-2 number, since 2×1480881688704² (a number of 25 digits) contains 22 as substring.

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 55 ways as a sum of consecutive naturals, for example, 140615919 + ... + 140626449.

Almost surely, 2^{1480881688704} 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 1480881688704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2430533042640).

1480881688704 is an abundant number, since it is smaller than the sum of its proper divisors (3380184396576).

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

1480881688704 is a wasteful number, since it uses less digits than its factorization.

1480881688704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10711 (or 10684 counting only the distinct ones).

The product of its (nonzero) digits is 22020096, while the sum is 63.

The spelling of 1480881688704 in words is "one trillion, four hundred eighty billion, eight hundred eighty-one million, six hundred eighty-eight thousand, seven hundred four".