11425524574464 has 4608 divisors, whose sum is σ = 51360454656000. Its totient is φ = 2437996216320.

The previous prime is 11425524574417. The next prime is 11425524574469. The reversal of 11425524574464 is 46447542552411.

11425524574464 is a `hidden beast` number, since 1 + 1 + 4 + 2 + 5 + 5 + 2 + 4 + 574 + 4 + 64 = 666.

It is a super-2 number, since 2×11425524574464² (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 11425524574464.

It is not an unprimeable number, because it can be changed into a prime (11425524574469) by changing a digit.

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 511 ways as a sum of consecutive naturals, for example, 308797961454 + ... + 308797961490.

It is an arithmetic number, because the mean of its divisors is an integer number (11145932000).

Almost surely, 2^{11425524574464} is an apocalyptic number.

11425524574464 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 11425524574464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25680227328000).

11425524574464 is an abundant number, since it is smaller than the sum of its proper divisors (39934930081536).

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

11425524574464 is a wasteful number, since it uses less digits than its factorization.

11425524574464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 121 counting only the distinct ones).

The product of its digits is 21504000, while the sum is 54.

The spelling of 11425524574464 in words is "eleven trillion, four hundred twenty-five billion, five hundred twenty-four million, five hundred seventy-four thousand, four hundred sixty-four".