230152126464 has 480 divisors, whose sum is σ = 758642554880. Its totient is φ = 68478566400.

The previous prime is 230152126453. The next prime is 230152126483. The reversal of 230152126464 is 464621251032.

230152126464 is a `hidden beast` number, since 2 + 3 + 0 + 1 + 5 + 2 + 1 + 2 + 646 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 178273659 + ... + 178274949.

Almost surely, 2^230152126464 is an apocalyptic number.

230152126464 is a gapful number since it is divisible by the number (24) 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 230152126464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379321277440).

230152126464 is an abundant number, since it is smaller than the sum of its proper divisors (528490428416).

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

230152126464 is a wasteful number, since it uses less digits than its factorization.

230152126464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1372 (or 1340 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 230152126464 its reverse (464621251032), we get a palindrome (694773377496).

The spelling of 230152126464 in words is "two hundred thirty billion, one hundred fifty-two million, one hundred twenty-six thousand, four hundred sixty-four".