128462652864 has 1344 divisors, whose sum is σ = 513320263680. Its totient is φ = 30636195840.

The previous prime is 128462652827. The next prime is 128462652889. The reversal of 128462652864 is 468256264821.

128462652864 is a `hidden beast` number, since 1 + 2 + 8 + 4 + 626 + 5 + 2 + 8 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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 128462652864.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1759762332 + ... + 1759762404.

It is an arithmetic number, because the mean of its divisors is an integer number (381934720).

Almost surely, 2^128462652864 is an apocalyptic number.

128462652864 is a gapful number since it is divisible by the number (14) 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 128462652864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256660131840).

128462652864 is an abundant number, since it is smaller than the sum of its proper divisors (384857610816).

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

128462652864 is a wasteful number, since it uses less digits than its factorization.

128462652864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 148 counting only the distinct ones).

The product of its digits is 8847360, while the sum is 54.

The spelling of 128462652864 in words is "one hundred twenty-eight billion, four hundred sixty-two million, six hundred fifty-two thousand, eight hundred sixty-four".