110213455461056 has 224 divisors, whose sum is σ = 237679395811200. Its totient is φ = 50569615540224.

The previous prime is 110213455461001. The next prime is 110213455461061. The reversal of 110213455461056 is 650164554312011.

It is a junction number, because it is equal to n+sod(n) for n = 110213455460998 and 110213455461016.

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, 1111724066 + ... + 1111823198.

It is an arithmetic number, because the mean of its divisors is an integer number (1061068731300).

Almost surely, 2^{110213455461056} is an apocalyptic number.

110213455461056 is a gapful number since it is divisible by the number (16) 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 110213455461056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118839697905600).

110213455461056 is an abundant number, since it is smaller than the sum of its proper divisors (127465940350144).

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

110213455461056 is a wasteful number, since it uses less digits than its factorization.

110213455461056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99491 (or 99481 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 44.

The spelling of 110213455461056 in words is "one hundred ten trillion, two hundred thirteen billion, four hundred fifty-five million, four hundred sixty-one thousand, fifty-six".