128049749100 has 864 divisors, whose sum is σ = 519475640320. Its totient is φ = 26638709760.

The previous prime is 128049749071. The next prime is 128049749119. The reversal of 128049749100 is 1947940821.

It is a happy number.

128049749100 is a `hidden beast` number, since 12 + 8 + 0 + 497 + 49 + 100 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 174692334 + ... + 174693066.

Almost surely, 2^128049749100 is an apocalyptic number.

128049749100 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 128049749100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259737820160).

128049749100 is an abundant number, since it is smaller than the sum of its proper divisors (391425891220).

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

128049749100 is a wasteful number, since it uses less digits than its factorization.

128049749100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 861 (or 842 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 128049749100 in words is "one hundred twenty-eight billion, forty-nine million, seven hundred forty-nine thousand, one hundred".