11341862977536 has 480 divisors, whose sum is σ = 41359524487680. Its totient is φ = 2991249948672.

The previous prime is 11341862977477. The next prime is 11341862977559. The reversal of 11341862977536 is 63577926814311.

11341862977536 is a `hidden beast` number, since 1 + 1 + 3 + 4 + 1 + 8 + 6 + 2 + 97 + 7 + 536 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 40114615 + ... + 40396361.

It is an arithmetic number, because the mean of its divisors is an integer number (86165676016).

Almost surely, 2^{11341862977536} is an apocalyptic number.

11341862977536 is a gapful number since it is divisible by the number (16) 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 11341862977536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20679762243840).

11341862977536 is an abundant number, since it is smaller than the sum of its proper divisors (30017661510144).

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

11341862977536 is an equidigital number, since it uses as much as digits as its factorization.

11341862977536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281804 (or 281772 counting only the distinct ones).

The product of its digits is 45722880, while the sum is 63.

The spelling of 11341862977536 in words is "eleven trillion, three hundred forty-one billion, eight hundred sixty-two million, nine hundred seventy-seven thousand, five hundred thirty-six".