1375346668608 has 896 divisors, whose sum is σ = 4714500096000. Its totient is φ = 389223014400.

The previous prime is 1375346668607. The next prime is 1375346668609. The reversal of 1375346668608 is 8068666435731.

It is an interprime number because it is at equal distance from previous prime (1375346668607) and next prime (1375346668609).

It is a super-2 number, since 2×1375346668608² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1375346668601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4338632866 + ... + 4338633182.

Almost surely, 2^{1375346668608} is an apocalyptic number.

1375346668608 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 1375346668608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2357250048000).

1375346668608 is an abundant number, since it is smaller than the sum of its proper divisors (3339153427392).

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

1375346668608 is a wasteful number, since it uses less digits than its factorization.

1375346668608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 616 (or 600 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 63.

The spelling of 1375346668608 in words is "one trillion, three hundred seventy-five billion, three hundred forty-six million, six hundred sixty-eight thousand, six hundred eight".