1067168314368 has 704 divisors, whose sum is σ = 3604305196800. Its totient is φ = 309533736960.

The previous prime is 1067168314259. The next prime is 1067168314423. The reversal of 1067168314368 is 8634138617601.

1067168314368 is a `hidden beast` number, since 10 + 6 + 7 + 168 + 31 + 436 + 8 = 666.

It is a super-2 number, since 2×1067168314368² (a number of 25 digits) contains 22 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 63 ways as a sum of consecutive naturals, for example, 448200538 + ... + 448202918.

It is an arithmetic number, because the mean of its divisors is an integer number (5119751700).

Almost surely, 2^{1067168314368} is an apocalyptic number.

1067168314368 is a gapful number since it is divisible by the number (18) 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 1067168314368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1802152598400).

1067168314368 is an abundant number, since it is smaller than the sum of its proper divisors (2537136882432).

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

1067168314368 is a wasteful number, since it uses less digits than its factorization.

1067168314368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2495 (or 2471 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 1067168314368 in words is "one trillion, sixty-seven billion, one hundred sixty-eight million, three hundred fourteen thousand, three hundred sixty-eight".