127835314818016 has 48 divisors (see below), whose sum is σ = 275478655300128. Its totient is φ = 58033686412800.

The previous prime is 127835314817953. The next prime is 127835314818031. The reversal of 127835314818016 is 610818413538721.

It is a super-2 number, since 2×127835314818016² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2518797820 + ... + 2518848571.

It is an arithmetic number, because the mean of its divisors is an integer number (5739138652086).

Almost surely, 2^{127835314818016} is an apocalyptic number.

127835314818016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

127835314818016 is an abundant number, since it is smaller than the sum of its proper divisors (147643340482112).

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

127835314818016 is a wasteful number, since it uses less digits than its factorization.

127835314818016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5037646475 (or 5037646467 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 58.

The spelling of 127835314818016 in words is "one hundred twenty-seven trillion, eight hundred thirty-five billion, three hundred fourteen million, eight hundred eighteen thousand, sixteen".