1346407481104 has 135 divisors (see below), whose sum is σ = 3145018346847. Its totient is φ = 556744253184.

The previous prime is 1346407481099. The next prime is 1346407481143. The reversal of 1346407481104 is 4011847046431.

The square root of 1346407481104 is 1160348.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 307638841104 + 1038768640000 = 554652^2 + 1019200^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 942201862 + ... + 942203290.

Almost surely, 2^{1346407481104} is an apocalyptic number.

1346407481104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1346407481104 is the 1160348-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1346407481104

1346407481104 is an abundant number, since it is smaller than the sum of its proper divisors (1798610865743).

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

1346407481104 is an frugal number, since it uses more digits than its factorization.

1346407481104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2938 (or 1467 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 43.

The spelling of 1346407481104 in words is "one trillion, three hundred forty-six billion, four hundred seven million, four hundred eighty-one thousand, one hundred four".