11356543401984 has 960 divisors, whose sum is σ = 39634963200000. Its totient is φ = 3177334702080.

The previous prime is 11356543401947. The next prime is 11356543402021. The reversal of 11356543401984 is 48910434565311.

11356543401984 is a `hidden beast` number, since 1 + 1 + 3 + 5 + 6 + 543 + 4 + 0 + 1 + 98 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (11356543401947) and next prime (11356543402021).

It is a super-2 number, since 2×11356543401984² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 11356543401984.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3245652267 + ... + 3245655765.

It is an arithmetic number, because the mean of its divisors is an integer number (41286420000).

Almost surely, 2^{11356543401984} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11356543401984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19817481600000).

11356543401984 is an abundant number, since it is smaller than the sum of its proper divisors (28278419798016).

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

11356543401984 is a wasteful number, since it uses less digits than its factorization.

11356543401984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3599 (or 3567 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 11356543401984 in words is "eleven trillion, three hundred fifty-six billion, five hundred forty-three million, four hundred one thousand, nine hundred eighty-four".