11354602071456 has 432 divisors, whose sum is σ = 39422155368960. Its totient is φ = 3030050903040.

The previous prime is 11354602071443. The next prime is 11354602071457. The reversal of 11354602071456 is 65417020645311.

It is a happy number.

11354602071456 is a `hidden beast` number, since 1 + 1 + 3 + 54 + 60 + 20 + 71 + 456 = 666.

It is a super-2 number, since 2×11354602071456² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11354602071457) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4536395901 + ... + 4536398403.

It is an arithmetic number, because the mean of its divisors is an integer number (91254989280).

Almost surely, 2^{11354602071456} is an apocalyptic number.

11354602071456 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 11354602071456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19711077684480).

11354602071456 is an abundant number, since it is smaller than the sum of its proper divisors (28067553297504).

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

11354602071456 is an equidigital number, since it uses as much as digits as its factorization.

11354602071456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5089 (or 2575 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 11354602071456 in words is "eleven trillion, three hundred fifty-four billion, six hundred two million, seventy-one thousand, four hundred fifty-six".