1974135345168 has 480 divisors, whose sum is σ = 6668573184000. Its totient is φ = 499273528320.

The previous prime is 1974135345151. The next prime is 1974135345179. The reversal of 1974135345168 is 8615435314791.

It is a super-2 number, since 2×1974135345168² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 40149943 + ... + 40199081.

It is an arithmetic number, because the mean of its divisors is an integer number (13892860800).

Almost surely, 2^{1974135345168} 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 1974135345168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3334286592000).

1974135345168 is an abundant number, since it is smaller than the sum of its proper divisors (4694437838832).

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

1974135345168 is a wasteful number, since it uses less digits than its factorization.

1974135345168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49243 (or 49230 counting only the distinct ones).

The product of its digits is 10886400, while the sum is 57.

The spelling of 1974135345168 in words is "one trillion, nine hundred seventy-four billion, one hundred thirty-five million, three hundred forty-five thousand, one hundred sixty-eight".