110625005664 has 192 divisors, whose sum is σ = 328772908800. Its totient is φ = 36178458624.

The previous prime is 110625005653. The next prime is 110625005671. The reversal of 110625005664 is 466500526011.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29921064 + ... + 29924760.

It is an arithmetic number, because the mean of its divisors is an integer number (1712358900).

Almost surely, 2^110625005664 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 110625005664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164386454400).

110625005664 is an abundant number, since it is smaller than the sum of its proper divisors (218147903136).

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

110625005664 is a wasteful number, since it uses less digits than its factorization.

110625005664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4362 (or 4348 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 110625005664 in words is "one hundred ten billion, six hundred twenty-five million, five thousand, six hundred sixty-four".