110764957734864 has 160 divisors (see below), whose sum is σ = 325345311984000. Its totient is φ = 36061348055040.

The previous prime is 110764957734841. The next prime is 110764957734881. The reversal of 110764957734864 is 468437759467011.

110764957734864 is a `hidden beast` number, since 1 + 1 + 0 + 7 + 6 + 4 + 9 + 577 + 3 + 48 + 6 + 4 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 110764957734792 and 110764957734801.

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, 441258862 + ... + 441509810.

It is an arithmetic number, because the mean of its divisors is an integer number (2033408199900).

Almost surely, 2^{110764957734864} 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 110764957734864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162672655992000).

110764957734864 is an abundant number, since it is smaller than the sum of its proper divisors (214580354249136).

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

110764957734864 is a wasteful number, since it uses less digits than its factorization.

110764957734864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274770 (or 274758 counting only the distinct ones).

The product of its (nonzero) digits is 853493760, while the sum is 72.

The spelling of 110764957734864 in words is "one hundred ten trillion, seven hundred sixty-four billion, nine hundred fifty-seven million, seven hundred thirty-four thousand, eight hundred sixty-four".