1354930920224 has 192 divisors, whose sum is σ = 3225038745600. Its totient is φ = 547389093888.

The previous prime is 1354930920223. The next prime is 1354930920247. The reversal of 1354930920224 is 4220290394531.

It is a Cunningham number, because it is equal to 1164015²-1.

It is not an unprimeable number, because it can be changed into a prime (1354930920223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 952164377 + ... + 952165799.

It is an arithmetic number, because the mean of its divisors is an integer number (16797076800).

Almost surely, 2^{1354930920224} is an apocalyptic number.

1354930920224 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 1354930920224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1612519372800).

1354930920224 is an abundant number, since it is smaller than the sum of its proper divisors (1870107825376).

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

1354930920224 is a wasteful number, since it uses less digits than its factorization.

1354930920224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2415 (or 2407 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 44.

The spelling of 1354930920224 in words is "one trillion, three hundred fifty-four billion, nine hundred thirty million, nine hundred twenty thousand, two hundred twenty-four".