128414317905 has 48 divisors (see below), whose sum is σ = 225640546560. Its totient is φ = 67549248000.

The previous prime is 128414317903. The next prime is 128414317951. The reversal of 128414317905 is 509713414821.

128414317905 is a `hidden beast` number, since 128 + 4 + 1 + 431 + 7 + 90 + 5 = 666.

It is not a de Polignac number, because 128414317905 - 2¹ = 128414317903 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (128414317901) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3433305 + ... + 3470505.

It is an arithmetic number, because the mean of its divisors is an integer number (4700844720).

Almost surely, 2^128414317905 is an apocalyptic number.

128414317905 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

128414317905 is a deficient number, since it is larger than the sum of its proper divisors (97226228655).

128414317905 is a wasteful number, since it uses less digits than its factorization.

128414317905 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38262 (or 38259 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 128414317905 in words is "one hundred twenty-eight billion, four hundred fourteen million, three hundred seventeen thousand, nine hundred five".