11546503784640 has 1344 divisors, whose sum is σ = 47142193093632. Its totient is φ = 2662701465600.

The previous prime is 11546503784623. The next prime is 11546503784687. The reversal of 11546503784640 is 4648730564511.

11546503784640 is a `hidden beast` number, since 1 + 1 + 5 + 4 + 6 + 503 + 78 + 4 + 64 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3796941520 + ... + 3796944560.

It is an arithmetic number, because the mean of its divisors is an integer number (35076036528).

Almost surely, 2^{11546503784640} is an apocalyptic number.

11546503784640 is a gapful number since it is divisible by the number (10) 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 11546503784640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23571096546816).

11546503784640 is an abundant number, since it is smaller than the sum of its proper divisors (35595689308992).

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

11546503784640 is a wasteful number, since it uses less digits than its factorization.

11546503784640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3300 (or 3278 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 11546503784640 in words is "eleven trillion, five hundred forty-six billion, five hundred three million, seven hundred eighty-four thousand, six hundred forty".