128098954368 has 768 divisors, whose sum is σ = 472196874240. Its totient is φ = 32374702080.

The previous prime is 128098954301. The next prime is 128098954429. The reversal of 128098954368 is 863459890821.

128098954368 is a `hidden beast` number, since 1 + 2 + 8 + 0 + 9 + 89 + 543 + 6 + 8 = 666.

It is a super-2 number, since 2×128098954368² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 935028796 + ... + 935028932.

It is an arithmetic number, because the mean of its divisors is an integer number (614839680).

Almost surely, 2^128098954368 is an apocalyptic number.

128098954368 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 128098954368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236098437120).

128098954368 is an abundant number, since it is smaller than the sum of its proper divisors (344097919872).

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

128098954368 is a wasteful number, since it uses less digits than its factorization.

128098954368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 63.

The spelling of 128098954368 in words is "one hundred twenty-eight billion, ninety-eight million, nine hundred fifty-four thousand, three hundred sixty-eight".