1674430164864 has 160 divisors (see below), whose sum is σ = 5043116703240. Its totient is φ = 551418485760.

The previous prime is 1674430164821. The next prime is 1674430164907. The reversal of 1674430164864 is 4684610344761.

1674430164864 is a `hidden beast` number, since 1 + 6 + 74 + 430 + 1 + 64 + 86 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (1674430164821) and next prime (1674430164907).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 1674430164864.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 112347 + ... + 1833434.

Almost surely, 2^{1674430164864} 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 1674430164864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2521558351620).

1674430164864 is an abundant number, since it is smaller than the sum of its proper divisors (3368686538376).

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

1674430164864 is an equidigital number, since it uses as much as digits as its factorization.

1674430164864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1945890 (or 1945869 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

The spelling of 1674430164864 in words is "one trillion, six hundred seventy-four billion, four hundred thirty million, one hundred sixty-four thousand, eight hundred sixty-four".