127467803146896 has 135 divisors (see below), whose sum is σ = 369469506792009. Its totient is φ = 41022856054656.

The previous prime is 127467803146883. The next prime is 127467803146903. The reversal of 127467803146896 is 698641308764721.

The square root of 127467803146896 is 11290164.

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

127467803146896 is a `hidden beast` number, since 1 + 2 + 7 + 4 + 6 + 78 + 0 + 3 + 1 + 468 + 96 = 666.

It can be written as a sum of positive squares in only one way, i.e., 66841024004496 + 60626779142400 = 8175636^2 + 7786320^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3928960851 + ... + 3928993293.

Almost surely, 2^{127467803146896} is an apocalyptic number.

127467803146896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

127467803146896 is the 11290164-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 127467803146896

127467803146896 is an abundant number, since it is smaller than the sum of its proper divisors (242001703645113).

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

127467803146896 is an frugal number, since it uses more digits than its factorization.

127467803146896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64958 (or 32477 counting only the distinct ones).

The product of its (nonzero) digits is 585252864, while the sum is 72.

The spelling of 127467803146896 in words is "one hundred twenty-seven trillion, four hundred sixty-seven billion, eight hundred three million, one hundred forty-six thousand, eight hundred ninety-six".