113223661824 has 648 divisors, whose sum is σ = 399981284640. Its totient is φ = 28259352576.

The previous prime is 113223661813. The next prime is 113223661841. The reversal of 113223661824 is 428166322311.

113223661824 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 120835884 + ... + 120836820.

Almost surely, 2^113223661824 is an apocalyptic number.

113223661824 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 113223661824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199990642320).

113223661824 is an abundant number, since it is smaller than the sum of its proper divisors (286757622816).

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

113223661824 is a wasteful number, since it uses less digits than its factorization.

113223661824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1015 (or 981 counting only the distinct ones).

The product of its digits is 82944, while the sum is 39.

The spelling of 113223661824 in words is "one hundred thirteen billion, two hundred twenty-three million, six hundred sixty-one thousand, eight hundred twenty-four".