1605351478368 has 384 divisors, whose sum is σ = 5154614599680. Its totient is φ = 431144017920.

The previous prime is 1605351478321. The next prime is 1605351478397. The reversal of 1605351478368 is 8638741535061.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 56947605 + ... + 56975787.

It is an arithmetic number, because the mean of its divisors is an integer number (13423475520).

Almost surely, 2^{1605351478368} 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 1605351478368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2577307299840).

1605351478368 is an abundant number, since it is smaller than the sum of its proper divisors (3549263121312).

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

1605351478368 is a wasteful number, since it uses less digits than its factorization.

1605351478368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28410 (or 28402 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 57.

The spelling of 1605351478368 in words is "one trillion, six hundred five billion, three hundred fifty-one million, four hundred seventy-eight thousand, three hundred sixty-eight".