127854874624 has 117 divisors (see below), whose sum is σ = 264527288361. Its totient is φ = 61787750400.

The previous prime is 127854874573. The next prime is 127854874673. The reversal of 127854874624 is 426478458721.

The square root of 127854874624 is 357568.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 114406297600 + 13448577024 = 338240^2 + 115968^2 .

It is a Smith number, since the sum of its digits (58) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 846720949 + ... + 846721099.

Almost surely, 2^127854874624 is an apocalyptic number.

127854874624 is the 357568-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 127854874624

127854874624 is an abundant number, since it is smaller than the sum of its proper divisors (136672413737).

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

127854874624 is an frugal number, since it uses more digits than its factorization.

127854874624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 190 counting only the distinct ones).

The product of its digits is 24084480, while the sum is 58.

The spelling of 127854874624 in words is "one hundred twenty-seven billion, eight hundred fifty-four million, eight hundred seventy-four thousand, six hundred twenty-four".