11655341465100 has 144 divisors (see below), whose sum is σ = 34676655552000. Its totient is φ = 3020753523200.

The previous prime is 11655341465071. The next prime is 11655341465113. The reversal of 11655341465100 is 156414355611.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1433401 + ... + 5036399.

It is an arithmetic number, because the mean of its divisors is an integer number (240810108000).

Almost surely, 2^{11655341465100} is an apocalyptic number.

11655341465100 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 11655341465100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17338327776000).

11655341465100 is an abundant number, since it is smaller than the sum of its proper divisors (23021314086900).

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

11655341465100 is a wasteful number, since it uses less digits than its factorization.

11655341465100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3603320 (or 3603313 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 42.

The spelling of 11655341465100 in words is "eleven trillion, six hundred fifty-five billion, three hundred forty-one million, four hundred sixty-five thousand, one hundred".