1664467431000 has 256 divisors, whose sum is σ = 5963414745600. Its totient is φ = 382269888000.

The previous prime is 1664467430999. The next prime is 1664467431041. The reversal of 1664467431000 is 1347644661.

It is a super-2 number, since 2×1664467431000² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 700327 + ... + 1954326.

It is an arithmetic number, because the mean of its divisors is an integer number (23294588850).

Almost surely, 2^{1664467431000} is an apocalyptic number.

1664467431000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1664467431000 is an abundant number, since it is smaller than the sum of its proper divisors (4298947314600).

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

1664467431000 is a wasteful number, since it uses less digits than its factorization.

1664467431000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2654707 (or 2654693 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 42.

The spelling of 1664467431000 in words is "one trillion, six hundred sixty-four billion, four hundred sixty-seven million, four hundred thirty-one thousand".