1664791454160 has 120 divisors (see below), whose sum is σ = 5669670225024. Its totient is φ = 437691636480.

The previous prime is 1664791454153. The next prime is 1664791454177. The reversal of 1664791454160 is 614541974661.

1664791454160 is a `hidden beast` number, since 1 + 6 + 6 + 4 + 7 + 91 + 4 + 541 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a junction number, because it is equal to n+sod(n) for n = 1664791454097 and 1664791454106.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16232052 + ... + 16334291.

Almost surely, 2^{1664791454160} is an apocalyptic number.

1664791454160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1664791454160 is an abundant number, since it is smaller than the sum of its proper divisors (4004878770864).

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

1664791454160 is a wasteful number, since it uses less digits than its factorization.

1664791454160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32566433 (or 32566424 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 1664791454160 in words is "one trillion, six hundred sixty-four billion, seven hundred ninety-one million, four hundred fifty-four thousand, one hundred sixty".