1659118374144 has 1152 divisors, whose sum is σ = 6308209152000. Its totient is φ = 426367549440.

The previous prime is 1659118374127. The next prime is 1659118374163. The reversal of 1659118374144 is 4414738119561.

1659118374144 is a `hidden beast` number, since 1 + 6 + 591 + 1 + 8 + 3 + 7 + 4 + 1 + 44 = 666.

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

It is a super-3 number, since 3×1659118374144³ (a number of 38 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2946924007 + ... + 2946924569.

It is an arithmetic number, because the mean of its divisors is an integer number (5475876000).

Almost surely, 2^{1659118374144} is an apocalyptic number.

1659118374144 is a gapful number since it is divisible by the number (14) 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 1659118374144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3154104576000).

1659118374144 is an abundant number, since it is smaller than the sum of its proper divisors (4649090777856).

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

1659118374144 is a wasteful number, since it uses less digits than its factorization.

1659118374144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 733 (or 699 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 54.

The spelling of 1659118374144 in words is "one trillion, six hundred fifty-nine billion, one hundred eighteen million, three hundred seventy-four thousand, one hundred forty-four".