129482293248 has 408 divisors, whose sum is σ = 466520486016. Its totient is φ = 33619968000.

The previous prime is 129482293189. The next prime is 129482293253. The reversal of 129482293248 is 842392284921.

129482293248 is a `hidden beast` number, since 1 + 2 + 94 + 8 + 229 + 324 + 8 = 666.

It is a super-2 number, since 2×129482293248² (a number of 23 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 129482293194 and 129482293203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45415023 + ... + 45417873.

Almost surely, 2^129482293248 is an apocalyptic number.

129482293248 is a gapful number since it is divisible by the number (18) 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 129482293248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233260243008).

129482293248 is an abundant number, since it is smaller than the sum of its proper divisors (337038192768).

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

129482293248 is an equidigital number, since it uses as much as digits as its factorization.

129482293248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2907 (or 2874 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 54.

The spelling of 129482293248 in words is "one hundred twenty-nine billion, four hundred eighty-two million, two hundred ninety-three thousand, two hundred forty-eight".