1355305365378 has 16 divisors (see below), whose sum is σ = 3011789700960. Its totient is φ = 451768455108.

The previous prime is 1355305365311. The next prime is 1355305365413. The reversal of 1355305365378 is 8735635035531.

1355305365378 is a `hidden beast` number, since 1 + 3 + 5 + 5 + 30 + 536 + 5 + 3 + 78 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54), and also a Moran number because the ratio is a prime number: 25098247507 = 1355305365378 / (1 + 3 + 5 + 5 + 3 + 0 + 5 + 3 + 6 + 5 + 3 + 7 + 8).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12549123700 + ... + 12549123807.

It is an arithmetic number, because the mean of its divisors is an integer number (188236856310).

Almost surely, 2^{1355305365378} is an apocalyptic number.

1355305365378 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

1355305365378 is an abundant number, since it is smaller than the sum of its proper divisors (1656484335582).

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

1355305365378 is a wasteful number, since it uses less digits than its factorization.

1355305365378 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25098247518 (or 25098247512 counting only the distinct ones).

The product of its (nonzero) digits is 17010000, while the sum is 54.

The spelling of 1355305365378 in words is "one trillion, three hundred fifty-five billion, three hundred five million, three hundred sixty-five thousand, three hundred seventy-eight".