110071157664 has 192 divisors, whose sum is σ = 314288916480. Its totient is φ = 33529420800.

The previous prime is 110071157617. The next prime is 110071157671. The reversal of 110071157664 is 466751170011.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 67652019 + ... + 67653645.

It is an arithmetic number, because the mean of its divisors is an integer number (1636921440).

Almost surely, 2^110071157664 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 110071157664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157144458240).

110071157664 is an abundant number, since it is smaller than the sum of its proper divisors (204217758816).

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

110071157664 is a wasteful number, since it uses less digits than its factorization.

110071157664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2163 (or 2155 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 39.

The spelling of 110071157664 in words is "one hundred ten billion, seventy-one million, one hundred fifty-seven thousand, six hundred sixty-four".