11455959436416 has 384 divisors, whose sum is σ = 38963614472640. Its totient is φ = 3191310581760.

The previous prime is 11455959436409. The next prime is 11455959436423. The reversal of 11455959436416 is 61463495955411.

11455959436416 is a `hidden beast` number, since 1 + 1 + 4 + 5 + 5 + 9 + 594 + 36 + 4 + 1 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (11455959436409) and next prime (11455959436423).

It is a tau number, because it is divible by the number of its divisors (384).

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 47 ways as a sum of consecutive naturals, for example, 8644876 + ... + 9881588.

Almost surely, 2^{11455959436416} is an apocalyptic number.

11455959436416 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 11455959436416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19481807236320).

11455959436416 is an abundant number, since it is smaller than the sum of its proper divisors (27507655036224).

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

11455959436416 is a wasteful number, since it uses less digits than its factorization.

11455959436416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1236804 (or 1236789 counting only the distinct ones).

The product of its digits is 69984000, while the sum is 63.

The spelling of 11455959436416 in words is "eleven trillion, four hundred fifty-five billion, nine hundred fifty-nine million, four hundred thirty-six thousand, four hundred sixteen".