1375661568996 has 243 divisors, whose sum is σ = 4141893876393. Its totient is φ = 384518946240.

The previous prime is 1375661568991. The next prime is 1375661568997. The reversal of 1375661568996 is 6998651665731.

The square root of 1375661568996 is 1172886.

It is a perfect power (a square), and thus also a powerful number.

1375661568996 is a `hidden beast` number, since 1 + 3 + 7 + 56 + 6 + 1 + 568 + 9 + 9 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 203500232100 + 1172161336896 = 451110^2 + 1082664^2 .

It is a super-3 number, since 3×1375661568996³ (a number of 37 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (1375661568991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1006335505 + ... + 1006336871.

Almost surely, 2^{1375661568996} is an apocalyptic number.

1375661568996 is the 1172886-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1375661568996

1375661568996 is an abundant number, since it is smaller than the sum of its proper divisors (2766232307397).

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

1375661568996 is a wasteful number, since it uses less digits than its factorization.

1375661568996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2792 (or 1396 counting only the distinct ones).

The product of its digits is 440899200, while the sum is 72.

The spelling of 1375661568996 in words is "one trillion, three hundred seventy-five billion, six hundred sixty-one million, five hundred sixty-eight thousand, nine hundred ninety-six".