1355064286464 has 864 divisors, whose sum is σ = 4691050640640. Its totient is φ = 368234201088.

The previous prime is 1355064286451. The next prime is 1355064286483. The reversal of 1355064286464 is 4646824605531.

1355064286464 is a `hidden beast` number, since 1 + 3 + 550 + 6 + 4 + 2 + 86 + 4 + 6 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1355064286464.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4891928694 + ... + 4891928970.

It is an arithmetic number, because the mean of its divisors is an integer number (5429456760).

Almost surely, 2^{1355064286464} is an apocalyptic number.

1355064286464 is a gapful number since it is divisible by the number (14) 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 1355064286464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2345525320320).

1355064286464 is an abundant number, since it is smaller than the sum of its proper divisors (3335986354176).

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

1355064286464 is a wasteful number, since it uses less digits than its factorization.

1355064286464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 515 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 16588800, while the sum is 54.

The spelling of 1355064286464 in words is "one trillion, three hundred fifty-five billion, sixty-four million, two hundred eighty-six thousand, four hundred sixty-four".