1663509888072 has 84 divisors (see below), whose sum is σ = 4676759184345. Its totient is φ = 554470463808.

The previous prime is 1663509888067. The next prime is 1663509888119. The reversal of 1663509888072 is 2708889053661.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

1663509888072 is a `hidden beast` number, since 1 + 66 + 350 + 9 + 88 + 80 + 72 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1132934587236 + 530575300836 = 1064394^2 + 728406^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=912006.

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 98488204 + ... + 98505092.

Almost surely, 2^{1663509888072} is an apocalyptic number.

1663509888072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1663509888072 is an abundant number, since it is smaller than the sum of its proper divisors (3013249296273).

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

1663509888072 is an frugal number, since it uses more digits than its factorization.

1663509888072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33802 (or 16894 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 63.

The spelling of 1663509888072 in words is "one trillion, six hundred sixty-three billion, five hundred nine million, eight hundred eighty-eight thousand, seventy-two".