110314260457648 has 80 divisors (see below), whose sum is σ = 231102094519296. Its totient is φ = 50709208608000.

The previous prime is 110314260457553. The next prime is 110314260457669. The reversal of 110314260457648 is 846754062413011.

It is a super-2 number, since 2×110314260457648² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a junction number, because it is equal to n+sod(n) for n = 110314260457595 and 110314260457604.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2150056411 + ... + 2150107717.

Almost surely, 2^{110314260457648} 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 110314260457648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115551047259648).

110314260457648 is an abundant number, since it is smaller than the sum of its proper divisors (120787834061648).

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

110314260457648 is a wasteful number, since it uses less digits than its factorization.

110314260457648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92762 (or 92756 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 52.

The spelling of 110314260457648 in words is "one hundred ten trillion, three hundred fourteen billion, two hundred sixty million, four hundred fifty-seven thousand, six hundred forty-eight".