1346470251552 has 192 divisors, whose sum is σ = 4023846288000. Its totient is φ = 437806301184.

The previous prime is 1346470251551. The next prime is 1346470251557. The reversal of 1346470251552 is 2551520746431.

1346470251552 is a `hidden beast` number, since 1 + 3 + 4 + 6 + 4 + 70 + 25 + 1 + 552 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1346470251498 and 1346470251507.

It is not an unprimeable number, because it can be changed into a prime (1346470251551) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28546324 + ... + 28593452.

It is an arithmetic number, because the mean of its divisors is an integer number (20957532750).

Almost surely, 2^{1346470251552} is an apocalyptic number.

1346470251552 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 1346470251552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2011923144000).

1346470251552 is an abundant number, since it is smaller than the sum of its proper divisors (2677376036448).

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

1346470251552 is a wasteful number, since it uses less digits than its factorization.

1346470251552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47960 (or 47946 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

Adding to 1346470251552 its reverse (2551520746431), we get a palindrome (3897990997983).

The spelling of 1346470251552 in words is "one trillion, three hundred forty-six billion, four hundred seventy million, two hundred fifty-one thousand, five hundred fifty-two".