1354305354304 has 112 divisors (see below), whose sum is σ = 3103120129536. Its totient is φ = 574421760000.

The previous prime is 1354305354217. The next prime is 1354305354307. The reversal of 1354305354304 is 4034535034531.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (1354305354307) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 136779754 + ... + 136789654.

It is an arithmetic number, because the mean of its divisors is an integer number (27706429728).

Almost surely, 2^{1354305354304} is an apocalyptic number.

1354305354304 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 1354305354304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1551560064768).

1354305354304 is an abundant number, since it is smaller than the sum of its proper divisors (1748814775232).

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

1354305354304 is a wasteful number, since it uses less digits than its factorization.

1354305354304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13044 (or 13034 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 40.

The spelling of 1354305354304 in words is "one trillion, three hundred fifty-four billion, three hundred five million, three hundred fifty-four thousand, three hundred four".