128614501641450 has 144 divisors (see below), whose sum is σ = 350722182191904. Its totient is φ = 30933760636800.

The previous prime is 128614501641449. The next prime is 128614501641473. The reversal of 128614501641450 is 54146105416821.

It is a super-3 number, since 3×128614501641450³ (a number of 43 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 128614501641450.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 24196452 + ... + 29029248.

It is an arithmetic number, because the mean of its divisors is an integer number (2435570709666).

Almost surely, 2^{128614501641450} is an apocalyptic number.

128614501641450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 128614501641450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175361091095952).

128614501641450 is an abundant number, since it is smaller than the sum of its proper divisors (222107680550454).

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

128614501641450 is a wasteful number, since it uses less digits than its factorization.

128614501641450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4833077 (or 4832945 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 48.

The spelling of 128614501641450 in words is "one hundred twenty-eight trillion, six hundred fourteen billion, five hundred one million, six hundred forty-one thousand, four hundred fifty".