11621853682452 has 144 divisors (see below), whose sum is σ = 32811766245440. Its totient is φ = 3575655560448.

The previous prime is 11621853682303. The next prime is 11621853682493. The reversal of 11621853682452 is 25428635812611.

11621853682452 is a `hidden beast` number, since 1 + 1 + 6 + 2 + 1 + 85 + 36 + 82 + 452 = 666.

It is a super-3 number, since 3×11621853682452³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 186716328 + ... + 186778560.

Almost surely, 2^{11621853682452} is an apocalyptic number.

11621853682452 is a gapful number since it is divisible by the number (12) 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 11621853682452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16405883122720).

11621853682452 is an abundant number, since it is smaller than the sum of its proper divisors (21189912562988).

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

11621853682452 is a wasteful number, since it uses less digits than its factorization.

11621853682452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77044 (or 77030 counting only the distinct ones).

The product of its digits is 5529600, while the sum is 54.

The spelling of 11621853682452 in words is "eleven trillion, six hundred twenty-one billion, eight hundred fifty-three million, six hundred eighty-two thousand, four hundred fifty-two".