229486400640 has 896 divisors, whose sum is σ = 972871430400. Its totient is φ = 50624372736.

The previous prime is 229486400623. The next prime is 229486400651. The reversal of 229486400640 is 46004684922.

229486400640 is a `hidden beast` number, since 22 + 94 + 86 + 400 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (896).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 94710469 + ... + 94712891.

Almost surely, 2^229486400640 is an apocalyptic number.

229486400640 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 229486400640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486435715200).

229486400640 is an abundant number, since it is smaller than the sum of its proper divisors (743385029760).

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

229486400640 is an equidigital number, since it uses as much as digits as its factorization.

229486400640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2496 (or 2469 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 229486400640 in words is "two hundred twenty-nine billion, four hundred eighty-six million, four hundred thousand, six hundred forty".