229248707798880 has 4032 divisors, whose sum is σ = 1061381335327488. Its totient is φ = 46228496670720.

The previous prime is 229248707798779. The next prime is 229248707798899. The reversal of 229248707798880 is 88897707842922.

229248707798880 is a `hidden beast` number, since 2 + 292 + 48 + 70 + 7 + 79 + 88 + 80 = 666.

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 229248707798880.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 671 ways as a sum of consecutive naturals, for example, 356529871839 + ... + 356529872481.

It is an arithmetic number, because the mean of its divisors is an integer number (263239418484).

Almost surely, 2^{229248707798880} is an apocalyptic number.

229248707798880 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 229248707798880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530690667663744).

229248707798880 is an abundant number, since it is smaller than the sum of its proper divisors (832132627528608).

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

229248707798880 is a wasteful number, since it uses less digits than its factorization.

229248707798880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 861 (or 831 counting only the distinct ones).

The product of its (nonzero) digits is 3641573376, while the sum is 81.

The spelling of 229248707798880 in words is "two hundred twenty-nine trillion, two hundred forty-eight billion, seven hundred seven million, seven hundred ninety-eight thousand, eight hundred eighty".