11614915952640 has 4096 divisors, whose sum is σ = 57667109068800. Its totient is φ = 2140353331200.

The previous prime is 11614915952623. The next prime is 11614915952663. The reversal of 11614915952640 is 4625951941611.

11614915952640 is a `hidden beast` number, since 1 + 1 + 6 + 1 + 4 + 9 + 1 + 595 + 2 + 6 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (4096).

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 255 ways as a sum of consecutive naturals, for example, 190408458210 + ... + 190408458270.

It is an arithmetic number, because the mean of its divisors is an integer number (14078884050).

Almost surely, 2^{11614915952640} is an apocalyptic number.

11614915952640 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 11614915952640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28833554534400).

11614915952640 is an abundant number, since it is smaller than the sum of its proper divisors (46052193116160).

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

11614915952640 is a wasteful number, since it uses less digits than its factorization.

11614915952640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 54.

The spelling of 11614915952640 in words is "eleven trillion, six hundred fourteen billion, nine hundred fifteen million, nine hundred fifty-two thousand, six hundred forty".