229086792997920 has 3840 divisors, whose sum is σ = 1045238204989440. Its totient is φ = 46373525913600.

The previous prime is 229086792997919. The next prime is 229086792997969. The reversal of 229086792997920 is 29799297680922.

229086792997920 is a `hidden beast` number, since 229 + 0 + 86 + 7 + 9 + 299 + 7 + 9 + 20 = 666.

It is a super-2 number, since 2×229086792997920² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 229086792997920.

It is an unprimeable number.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 159198604561 + ... + 159198605999.

It is an arithmetic number, because the mean of its divisors is an integer number (272197449216).

Almost surely, 2^{229086792997920} is an apocalyptic number.

229086792997920 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 229086792997920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522619102494720).

229086792997920 is an abundant number, since it is smaller than the sum of its proper divisors (816151411991520).

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

229086792997920 is a wasteful number, since it uses less digits than its factorization.

229086792997920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1701 (or 1684 counting only the distinct ones).

The product of its (nonzero) digits is 2222131968, while the sum is 81.

The spelling of 229086792997920 in words is "two hundred twenty-nine trillion, eighty-six billion, seven hundred ninety-two million, nine hundred ninety-seven thousand, nine hundred twenty".