230976452448 has 1152 divisors, whose sum is σ = 884846592000. Its totient is φ = 58378973184.

The previous prime is 230976452407. The next prime is 230976452503. The reversal of 230976452448 is 844254679032.

It is a happy number.

230976452448 is a `hidden beast` number, since 2 + 3 + 0 + 9 + 76 + 4 + 524 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 230976452394 and 230976452403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1818712161 + ... + 1818712287.

It is an arithmetic number, because the mean of its divisors is an integer number (768096000).

Almost surely, 2^230976452448 is an apocalyptic number.

230976452448 is a gapful number since it is divisible by the number (28) 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 230976452448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442423296000).

230976452448 is an abundant number, since it is smaller than the sum of its proper divisors (653870139552).

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

230976452448 is a wasteful number, since it uses less digits than its factorization.

230976452448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 230976452448 in words is "two hundred thirty billion, nine hundred seventy-six million, four hundred fifty-two thousand, four hundred forty-eight".