1346695478016 has 432 divisors, whose sum is σ = 4320885592800. Its totient is φ = 370833555456.

The previous prime is 1346695477999. The next prime is 1346695478039. The reversal of 1346695478016 is 6108745966431.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1192820940 + ... + 1192822068.

Almost surely, 2^{1346695478016} is an apocalyptic number.

1346695478016 is a gapful number since it is divisible by the number (16) 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 1346695478016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2160442796400).

1346695478016 is an abundant number, since it is smaller than the sum of its proper divisors (2974190114784).

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

1346695478016 is a wasteful number, since it uses less digits than its factorization.

1346695478016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2284 (or 2263 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 60.

The spelling of 1346695478016 in words is "one trillion, three hundred forty-six billion, six hundred ninety-five million, four hundred seventy-eight thousand, sixteen".