229770274977360 has 480 divisors, whose sum is σ = 896486630745888. Its totient is φ = 52227470131200.

The previous prime is 229770274977319. The next prime is 229770274977367. The reversal of 229770274977360 is 63779472077922.

229770274977360 is a `hidden beast` number, since 2 + 2 + 9 + 7 + 7 + 0 + 2 + 7 + 497 + 73 + 60 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 8708212137024 + 221062062840336 = 2950968^2 + 14868156^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (229770274977367) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5189341 + ... + 22056060.

Almost surely, 2^{229770274977360} is an apocalyptic number.

229770274977360 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 229770274977360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448243315372944).

229770274977360 is an abundant number, since it is smaller than the sum of its proper divisors (666716355768528).

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

229770274977360 is a wasteful number, since it uses less digits than its factorization.

229770274977360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27245503 (or 27245494 counting only the distinct ones).

The product of its (nonzero) digits is 784147392, while the sum is 72.

The spelling of 229770274977360 in words is "two hundred twenty-nine trillion, seven hundred seventy billion, two hundred seventy-four million, nine hundred seventy-seven thousand, three hundred sixty".