11842525404864 has 1764 divisors, whose sum is σ = 46538073470784. Its totient is φ = 2974599936000.

The previous prime is 11842525404851. The next prime is 11842525404869. The reversal of 11842525404864 is 46840452524811.

11842525404864 is a `hidden beast` number, since 1 + 1 + 8 + 4 + 2 + 52 + 540 + 48 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1764).

It is a super-2 number, since 2×11842525404864² (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 11842525404864.

It is not an unprimeable number, because it can be changed into a prime (11842525404869) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 251 ways as a sum of consecutive naturals, for example, 8575325454 + ... + 8575326834.

Almost surely, 2^{11842525404864} is an apocalyptic number.

11842525404864 is a gapful number since it is divisible by the number (14) 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 11842525404864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23269036735392).

11842525404864 is an abundant number, since it is smaller than the sum of its proper divisors (34695548065920).

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

11842525404864 is a wasteful number, since it uses less digits than its factorization.

11842525404864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1478 (or 1435 counting only the distinct ones).

The product of its (nonzero) digits is 9830400, while the sum is 54.

The spelling of 11842525404864 in words is "eleven trillion, eight hundred forty-two billion, five hundred twenty-five million, four hundred four thousand, eight hundred sixty-four".