11546165345616 has 90 divisors (see below), whose sum is σ = 35517844197290. Its totient is φ = 3498837978240.

The previous prime is 11546165345609. The next prime is 11546165345641. The reversal of 11546165345616 is 61654356164511.

11546165345616 is a `hidden beast` number, since 1 + 1 + 5 + 4 + 6 + 16 + 5 + 3 + 4 + 5 + 616 = 666.

It can be written as a sum of positive squares in only one way, i.e., 8297303294016 + 3248862051600 = 2880504^2 + 1802460^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 331311931 + ... + 331346778.

Almost surely, 2^{11546165345616} is an apocalyptic number.

11546165345616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11546165345616 is an abundant number, since it is smaller than the sum of its proper divisors (23971678851674).

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

11546165345616 is a wasteful number, since it uses less digits than its factorization.

11546165345616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 662658745 (or 662658725 counting only the distinct ones).

The product of its digits is 7776000, while the sum is 54.

The spelling of 11546165345616 in words is "eleven trillion, five hundred forty-six billion, one hundred sixty-five million, three hundred forty-five thousand, six hundred sixteen".