11934389307456 has 672 divisors, whose sum is σ = 45064850688000. Its totient is φ = 2925471375360.

The previous prime is 11934389307439. The next prime is 11934389307461. The reversal of 11934389307456 is 65470398343911.

It is a happy number.

11934389307456 is a `hidden beast` number, since 1 + 1 + 93 + 4 + 3 + 8 + 93 + 0 + 7 + 456 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 11934389307393 and 11934389307402.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 221600020 + ... + 221653868.

Almost surely, 2^{11934389307456} is an apocalyptic number.

11934389307456 is a gapful number since it is divisible by the number (16) 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 11934389307456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22532425344000).

11934389307456 is an abundant number, since it is smaller than the sum of its proper divisors (33130461380544).

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

11934389307456 is a wasteful number, since it uses less digits than its factorization.

11934389307456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54167 (or 54154 counting only the distinct ones).

The product of its (nonzero) digits is 58786560, while the sum is 63.

The spelling of 11934389307456 in words is "eleven trillion, nine hundred thirty-four billion, three hundred eighty-nine million, three hundred seven thousand, four hundred fifty-six".