1346930049024 has 512 divisors, whose sum is σ = 4620374784000. Its totient is φ = 379827781632.

The previous prime is 1346930048963. The next prime is 1346930049029. The reversal of 1346930049024 is 4209400396431.

1346930049024 is a `hidden beast` number, since 13 + 46 + 93 + 0 + 0 + 490 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (512).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1346930049029) 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, 489257632 + ... + 489260384.

It is an arithmetic number, because the mean of its divisors is an integer number (9024169500).

Almost surely, 2^{1346930049024} is an apocalyptic number.

1346930049024 is a gapful number since it is divisible by the number (14) 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 1346930049024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2310187392000).

1346930049024 is an abundant number, since it is smaller than the sum of its proper divisors (3273444734976).

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

1346930049024 is an frugal number, since it uses more digits than its factorization.

1346930049024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2878 (or 2844 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 1346930049024 in words is "one trillion, three hundred forty-six billion, nine hundred thirty million, forty-nine thousand, twenty-four".