1356351879168 has 672 divisors, whose sum is σ = 4777828539120. Its totient is φ = 379339407360.

The previous prime is 1356351879167. The next prime is 1356351879221. The reversal of 1356351879168 is 8619781536531.

1356351879168 is a `hidden beast` number, since 1 + 3 + 56 + 3 + 518 + 7 + 9 + 1 + 68 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1356351879167) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 213494680 + ... + 213501032.

Almost surely, 2^{1356351879168} is an apocalyptic number.

1356351879168 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 1356351879168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2388914269560).

1356351879168 is an abundant number, since it is smaller than the sum of its proper divisors (3421476659952).

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

1356351879168 is an equidigital number, since it uses as much as digits as its factorization.

1356351879168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6417 (or 6382 counting only the distinct ones).

The product of its digits is 32659200, while the sum is 63.

The spelling of 1356351879168 in words is "one trillion, three hundred fifty-six billion, three hundred fifty-one million, eight hundred seventy-nine thousand, one hundred sixty-eight".