11306995377408 has 216 divisors, whose sum is σ = 33665502963456. Its totient is φ = 3646008115200.

The previous prime is 11306995377389. The next prime is 11306995377413. The reversal of 11306995377408 is 80477359960311.

11306995377408 is a `hidden beast` number, since 1 + 1 + 3 + 0 + 6 + 99 + 537 + 7 + 4 + 0 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 193315528 + ... + 193374008.

It is an arithmetic number, because the mean of its divisors is an integer number (155858810016).

Almost surely, 2^{11306995377408} is an apocalyptic number.

11306995377408 is a gapful number since it is divisible by the number (18) 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 11306995377408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16832751481728).

11306995377408 is an abundant number, since it is smaller than the sum of its proper divisors (22358507586048).

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

11306995377408 is a wasteful number, since it uses less digits than its factorization.

11306995377408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61241 (or 61224 counting only the distinct ones).

The product of its (nonzero) digits is 34292160, while the sum is 63.

The spelling of 11306995377408 in words is "eleven trillion, three hundred six billion, nine hundred ninety-five million, three hundred seventy-seven thousand, four hundred eight".