234049425999480 has 1024 divisors, whose sum is σ = 980283161088000. Its totient is φ = 48355677831168.

The previous prime is 234049425999451. The next prime is 234049425999511. The reversal of 234049425999480 is 84999524940432.

234049425999480 is a `hidden beast` number, since 2 + 3 + 4 + 0 + 4 + 9 + 4 + 2 + 59 + 99 + 480 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 234049425999399 and 234049425999408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1490141112 + ... + 1490298168.

It is an arithmetic number, because the mean of its divisors is an integer number (957307774500).

Almost surely, 2^{234049425999480} is an apocalyptic number.

234049425999480 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 234049425999480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490141580544000).

234049425999480 is an abundant number, since it is smaller than the sum of its proper divisors (746233735088520).

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

234049425999480 is a wasteful number, since it uses less digits than its factorization.

234049425999480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157413 (or 157403 counting only the distinct ones).

The product of its (nonzero) digits is 806215680, while the sum is 72.

The spelling of 234049425999480 in words is "two hundred thirty-four trillion, forty-nine billion, four hundred twenty-five million, nine hundred ninety-nine thousand, four hundred eighty".