1673146368000 has 1152 divisors, whose sum is σ = 6411867855120. Its totient is φ = 435290112000.

The previous prime is 1673146367999. The next prime is 1673146368001. The reversal of 1673146368000 is 8636413761.

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.

1673146368000 is a `hidden beast` number, since 1 + 6 + 7 + 3 + 1 + 4 + 636 + 8 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1673146367999) and next prime (1673146368001).

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1673146368001) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 40808447980 + ... + 40808448020.

Almost surely, 2^{1673146368000} is an apocalyptic number.

1673146368000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1673146368000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3205933927560).

1673146368000 is an abundant number, since it is smaller than the sum of its proper divisors (4738721487120).

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

1673146368000 is an frugal number, since it uses more digits than its factorization.

1673146368000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 1673146368000 in words is "one trillion, six hundred seventy-three billion, one hundred forty-six million, three hundred sixty-eight thousand".