128634397056 has 1280 divisors, whose sum is σ = 479856960000. Its totient is φ = 33721712640.

The previous prime is 128634397051. The next prime is 128634397057. The reversal of 128634397056 is 650793436821.

128634397056 is a `hidden beast` number, since 12 + 86 + 3 + 439 + 70 + 56 = 666.

It is a super-2 number, since 2×128634397056² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 128634396993 and 128634397011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128634397051) by changing a digit.

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 159 ways as a sum of consecutive naturals, for example, 1445330260 + ... + 1445330348.

It is an arithmetic number, because the mean of its divisors is an integer number (374888250).

It is a 1-persistent number, because it is pandigital, but 2⋅128634397056 = 257268794112 is not.

Almost surely, 2^128634397056 is an apocalyptic number.

128634397056 is a gapful number since it is divisible by the number (16) 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 128634397056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239928480000).

128634397056 is an abundant number, since it is smaller than the sum of its proper divisors (351222562944).

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

128634397056 is a wasteful number, since it uses less digits than its factorization.

128634397056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 128634397056 in words is "one hundred twenty-eight billion, six hundred thirty-four million, three hundred ninety-seven thousand, fifty-six".