128361917754 has 240 divisors, whose sum is σ = 348307153920. Its totient is φ = 34570307520.

The previous prime is 128361917753. The next prime is 128361917779. The reversal of 128361917754 is 457719163821.

128361917754 is a `hidden beast` number, since 1 + 2 + 8 + 3 + 619 + 17 + 7 + 5 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 128361917754.

It is not an unprimeable number, because it can be changed into a prime (128361917753) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 60805159 + ... + 60807269.

It is an arithmetic number, because the mean of its divisors is an integer number (1451279808).

Almost surely, 2^128361917754 is an apocalyptic number.

128361917754 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 128361917754, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174153576960).

128361917754 is an abundant number, since it is smaller than the sum of its proper divisors (219945236166).

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

128361917754 is a wasteful number, since it uses less digits than its factorization.

128361917754 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2247 (or 2195 counting only the distinct ones).

The product of its digits is 2540160, while the sum is 54.

The spelling of 128361917754 in words is "one hundred twenty-eight billion, three hundred sixty-one million, nine hundred seventeen thousand, seven hundred fifty-four".