230745661440 has 448 divisors, whose sum is σ = 847105426944. Its totient is φ = 52536803328.

The previous prime is 230745661429. The next prime is 230745661457. The reversal of 230745661440 is 44166547032.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 230745661392 and 230745661401.

It is a congruent number.

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, 393092827 + ... + 393093413.

It is an arithmetic number, because the mean of its divisors is an integer number (1890860328).

Almost surely, 2^230745661440 is an apocalyptic number.

230745661440 is a gapful number since it is divisible by the number (20) 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 230745661440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423552713472).

230745661440 is an abundant number, since it is smaller than the sum of its proper divisors (616359765504).

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

230745661440 is an equidigital number, since it uses as much as digits as its factorization.

230745661440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1085 (or 1061 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 42.

The spelling of 230745661440 in words is "two hundred thirty billion, seven hundred forty-five million, six hundred sixty-one thousand, four hundred forty".