1921386009312 has 288 divisors, whose sum is σ = 7108370680320. Its totient is φ = 477362856960.

The previous prime is 1921386009247. The next prime is 1921386009313. The reversal of 1921386009312 is 2139006831291.

It is a happy number.

1921386009312 is a `hidden beast` number, since 1 + 9 + 2 + 1 + 3 + 8 + 600 + 9 + 31 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1921386009313) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1373487 + ... + 2393582.

It is an arithmetic number, because the mean of its divisors is an integer number (24681842640).

Almost surely, 2^{1921386009312} is an apocalyptic number.

1921386009312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1921386009312 is an abundant number, since it is smaller than the sum of its proper divisors (5186984671008).

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

1921386009312 is a wasteful number, since it uses less digits than its factorization.

1921386009312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3767126 (or 3767115 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The spelling of 1921386009312 in words is "one trillion, nine hundred twenty-one billion, three hundred eighty-six million, nine thousand, three hundred twelve".