11520462604644 has 288 divisors, whose sum is σ = 34652072206080. Its totient is φ = 3242405376000.

The previous prime is 11520462604627. The next prime is 11520462604711. The reversal of 11520462604644 is 44640626402511.

11520462604644 is a `hidden beast` number, since 1 + 1 + 52 + 0 + 462 + 60 + 46 + 44 = 666.

It is a super-3 number, since 3×11520462604644³ (a number of 40 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11520462604644.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 4838496334 + ... + 4838498714.

It is an arithmetic number, because the mean of its divisors is an integer number (120319695160).

Almost surely, 2^{11520462604644} is an apocalyptic number.

11520462604644 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 11520462604644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17326036103040).

11520462604644 is an abundant number, since it is smaller than the sum of its proper divisors (23131609601436).

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

11520462604644 is a wasteful number, since it uses less digits than its factorization.

11520462604644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3748 (or 3667 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 11520462604644 in words is "eleven trillion, five hundred twenty billion, four hundred sixty-two million, six hundred four thousand, six hundred forty-four".