1346356028160 has 1440 divisors, whose sum is σ = 5743931719680. Its totient is φ = 296806809600.

The previous prime is 1346356028081. The next prime is 1346356028179. The reversal of 1346356028160 is 618206536431.

1346356028160 is a `hidden beast` number, since 1 + 3 + 4 + 6 + 3 + 560 + 2 + 81 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1052662401 + ... + 1052663679.

It is an arithmetic number, because the mean of its divisors is an integer number (3988841472).

Almost surely, 2^{1346356028160} is an apocalyptic number.

1346356028160 is a gapful number since it is divisible by the number (10) 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 1346356028160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2871965859840).

1346356028160 is an abundant number, since it is smaller than the sum of its proper divisors (4397575691520).

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

1346356028160 is a wasteful number, since it uses less digits than its factorization.

1346356028160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1407 (or 1384 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 1346356028160 in words is "one trillion, three hundred forty-six billion, three hundred fifty-six million, twenty-eight thousand, one hundred sixty".