110960181455664 has 320 divisors, whose sum is σ = 306109836288000. Its totient is φ = 34514213031936.

The previous prime is 110960181455657. The next prime is 110960181455687. The reversal of 110960181455664 is 466554181069011.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 98806928607 + ... + 98806929729.

It is an arithmetic number, because the mean of its divisors is an integer number (956593238400).

Almost surely, 2^{110960181455664} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110960181455664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153054918144000).

110960181455664 is an abundant number, since it is smaller than the sum of its proper divisors (195149654832336).

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

110960181455664 is a wasteful number, since it uses less digits than its factorization.

110960181455664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2952 (or 2946 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 57.

The spelling of 110960181455664 in words is "one hundred ten trillion, nine hundred sixty billion, one hundred eighty-one million, four hundred fifty-five thousand, six hundred sixty-four".