1351604986368 has 480 divisors, whose sum is σ = 4528034812224. Its totient is φ = 355109142528.

The previous prime is 1351604986363. The next prime is 1351604986387. The reversal of 1351604986368 is 8636894061531.

It is a hoax number, since the sum of its digits (60) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (1351604986363) 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 47 ways as a sum of consecutive naturals, for example, 271023171 + ... + 271028157.

Almost surely, 2^{1351604986368} 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 1351604986368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2264017406112).

1351604986368 is an abundant number, since it is smaller than the sum of its proper divisors (3176429825856).

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

1351604986368 is a wasteful number, since it uses less digits than its factorization.

1351604986368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5312 (or 5289 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 60.

The spelling of 1351604986368 in words is "one trillion, three hundred fifty-one billion, six hundred four million, nine hundred eighty-six thousand, three hundred sixty-eight".