129457336320 has 1456 divisors, whose sum is σ = 541463106240. Its totient is φ = 29429858304.

The previous prime is 129457336289. The next prime is 129457336321. The reversal of 129457336320 is 23633754921.

129457336320 is a `hidden beast` number, since 1 + 2 + 9 + 4 + 5 + 7 + 3 + 3 + 632 + 0 = 666.

It is a super-2 number, since 2×129457336320² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129457336321) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 4464046066 + ... + 4464046094.

Almost surely, 2^129457336320 is an apocalyptic number.

129457336320 is a gapful number since it is divisible by the number (10) 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 129457336320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270731553120).

129457336320 is an abundant number, since it is smaller than the sum of its proper divisors (412005769920).

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

129457336320 is an equidigital number, since it uses as much as digits as its factorization.

129457336320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 45.

The spelling of 129457336320 in words is "one hundred twenty-nine billion, four hundred fifty-seven million, three hundred thirty-six thousand, three hundred twenty".