230162641632 has 648 divisors, whose sum is σ = 859750354008. Its totient is φ = 58150794240.

The previous prime is 230162641619. The next prime is 230162641649. The reversal of 230162641632 is 236146261032.

230162641632 is a `hidden beast` number, since 2 + 3 + 0 + 1 + 6 + 2 + 641 + 6 + 3 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 63177603 + ... + 63181245.

Almost surely, 2^230162641632 is an apocalyptic number.

230162641632 is a gapful number since it is divisible by the number (22) 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 230162641632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429875177004).

230162641632 is an abundant number, since it is smaller than the sum of its proper divisors (629587712376).

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

230162641632 is a wasteful number, since it uses less digits than its factorization.

230162641632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3732 (or 3703 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 230162641632 in words is "two hundred thirty billion, one hundred sixty-two million, six hundred forty-one thousand, six hundred thirty-two".