110745956640 has 288 divisors, whose sum is σ = 403631847360. Its totient is φ = 25434224640.

The previous prime is 110745956611. The next prime is 110745956669. The reversal of 110745956640 is 46659547011.

It is an interprime number because it is at equal distance from previous prime (110745956611) and next prime (110745956669).

It is a Smith number, since the sum of its digits (48) 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 (48).

It is a self number, because there is not a number n which added to its sum of digits gives 110745956640.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1053342 + ... + 1153698.

It is an arithmetic number, because the mean of its divisors is an integer number (1401499470).

Almost surely, 2^110745956640 is an apocalyptic number.

110745956640 is a gapful number since it is divisible by the number (10) 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 110745956640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201815923680).

110745956640 is an abundant number, since it is smaller than the sum of its proper divisors (292885890720).

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

110745956640 is a wasteful number, since it uses less digits than its factorization.

110745956640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100416 (or 100397 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 48.

The spelling of 110745956640 in words is "one hundred ten billion, seven hundred forty-five million, nine hundred fifty-six thousand, six hundred forty".