230219165312640 has 1792 divisors, whose sum is σ = 999697637664000. Its totient is φ = 49468247506944.

The previous prime is 230219165312527. The next prime is 230219165312671. The reversal of 230219165312640 is 46213561912032.

230219165312640 is a `hidden beast` number, since 2 + 3 + 0 + 2 + 1 + 91 + 6 + 531 + 26 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 61572387891 + ... + 61572391629.

Almost surely, 2^{230219165312640} is an apocalyptic number.

230219165312640 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 230219165312640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499848818832000).

230219165312640 is an abundant number, since it is smaller than the sum of its proper divisors (769478472351360).

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

230219165312640 is a wasteful number, since it uses less digits than its factorization.

230219165312640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4909 (or 4882 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 230219165312640 in words is "two hundred thirty trillion, two hundred nineteen billion, one hundred sixty-five million, three hundred twelve thousand, six hundred forty".