1354181983392 has 288 divisors, whose sum is σ = 4355411860800. Its totient is φ = 366319521792.

The previous prime is 1354181983381. The next prime is 1354181983423. The reversal of 1354181983392 is 2933891814531.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 186702838 + ... + 186710090.

It is an arithmetic number, because the mean of its divisors is an integer number (15122957850).

Almost surely, 2^{1354181983392} is an apocalyptic number.

1354181983392 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 1354181983392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2177705930400).

1354181983392 is an abundant number, since it is smaller than the sum of its proper divisors (3001229877408).

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

1354181983392 is a wasteful number, since it uses less digits than its factorization.

1354181983392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9388 (or 9373 counting only the distinct ones).

The product of its digits is 5598720, while the sum is 57.

The spelling of 1354181983392 in words is "one trillion, three hundred fifty-four billion, one hundred eighty-one million, nine hundred eighty-three thousand, three hundred ninety-two".