11514937142016 has 2304 divisors, whose sum is σ = 48318197760000. Its totient is φ = 2664851374080.

The previous prime is 11514937141969. The next prime is 11514937142039. The reversal of 11514937142016 is 61024173941511.

11514937142016 is a `hidden beast` number, since 1 + 1 + 5 + 1 + 493 + 7 + 142 + 0 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 8423508565 + ... + 8423509931.

It is an arithmetic number, because the mean of its divisors is an integer number (20971440000).

Almost surely, 2^{11514937142016} is an apocalyptic number.

11514937142016 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 11514937142016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24159098880000).

11514937142016 is an abundant number, since it is smaller than the sum of its proper divisors (36803260617984).

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

11514937142016 is a wasteful number, since it uses less digits than its factorization.

11514937142016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1460 (or 1426 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 11514937142016 in words is "eleven trillion, five hundred fourteen billion, nine hundred thirty-seven million, one hundred forty-two thousand, sixteen".