229736121840 has 360 divisors, whose sum is σ = 844159992624. Its totient is φ = 55796428800.

The previous prime is 229736121821. The next prime is 229736121859. The reversal of 229736121840 is 48121637922.

229736121840 is a `hidden beast` number, since 2 + 29 + 7 + 3 + 612 + 1 + 8 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (229736121821) and next prime (229736121859).

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11752875 + ... + 11772405.

Almost surely, 2^229736121840 is an apocalyptic number.

229736121840 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 229736121840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422079996312).

229736121840 is an abundant number, since it is smaller than the sum of its proper divisors (614423870784).

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

229736121840 is a wasteful number, since it uses less digits than its factorization.

229736121840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19629 (or 19589 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 229736121840 in words is "two hundred twenty-nine billion, seven hundred thirty-six million, one hundred twenty-one thousand, eight hundred forty".