110979405264 has 160 divisors (see below), whose sum is σ = 354337320960. Its totient is φ = 29146553856.

The previous prime is 110979405263. The next prime is 110979405269. The reversal of 110979405264 is 462504979011.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110979405263) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 990799 + ... + 1097105.

It is an arithmetic number, because the mean of its divisors is an integer number (2214608256).

Almost surely, 2^110979405264 is an apocalyptic number.

110979405264 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110979405264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177168660480).

110979405264 is an abundant number, since it is smaller than the sum of its proper divisors (243357915696).

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

110979405264 is a wasteful number, since it uses less digits than its factorization.

110979405264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106577 (or 106571 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 48.

The spelling of 110979405264 in words is "one hundred ten billion, nine hundred seventy-nine million, four hundred five thousand, two hundred sixty-four".