115511651660064 has 48 divisors (see below), whose sum is σ = 330783366120480. Its totient is φ = 35003530805760.

The previous prime is 115511651660039. The next prime is 115511651660101. The reversal of 115511651660064 is 460066156115511.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 115511651659995 and 115511651660022.

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 7 ways as a sum of consecutive naturals, for example, 54693015829 + ... + 54693017940.

It is an arithmetic number, because the mean of its divisors is an integer number (6891320127510).

Almost surely, 2^{115511651660064} is an apocalyptic number.

It is an amenable number.

115511651660064 is an abundant number, since it is smaller than the sum of its proper divisors (215271714460416).

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

115511651660064 is a wasteful number, since it uses less digits than its factorization.

115511651660064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109386033793 (or 109386033785 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 48.

The spelling of 115511651660064 in words is "one hundred fifteen trillion, five hundred eleven billion, six hundred fifty-one million, six hundred sixty thousand, sixty-four".