1346551813152 has 1296 divisors, whose sum is σ = 5117486986080. Its totient is φ = 343233386496.

The previous prime is 1346551813141. The next prime is 1346551813157. The reversal of 1346551813152 is 2513181556431.

1346551813152 is a `hidden beast` number, since 1 + 3 + 4 + 6 + 551 + 81 + 3 + 15 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1346551813098 and 1346551813107.

It is not an unprimeable number, because it can be changed into a prime (1346551813157) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 20097788223 + ... + 20097788289.

It is an arithmetic number, because the mean of its divisors is an integer number (3948678230).

Almost surely, 2^{1346551813152} is an apocalyptic number.

1346551813152 is a gapful number since it is divisible by the number (12) 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 1346551813152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2558743493040).

1346551813152 is an abundant number, since it is smaller than the sum of its proper divisors (3770935172928).

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

1346551813152 is a wasteful number, since it uses less digits than its factorization.

1346551813152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 145 counting only the distinct ones).

The product of its digits is 432000, while the sum is 45.

The spelling of 1346551813152 in words is "one trillion, three hundred forty-six billion, five hundred fifty-one million, eight hundred thirteen thousand, one hundred fifty-two".