127430946816 has 208 divisors, whose sum is σ = 361249049088. Its totient is φ = 39813120000.

The previous prime is 127430946809. The next prime is 127430946817. The reversal of 127430946816 is 618649034721.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127430946817) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56609691 + ... + 56611941.

Almost surely, 2^127430946816 is an apocalyptic number.

127430946816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 127430946816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180624524544).

127430946816 is an abundant number, since it is smaller than the sum of its proper divisors (233818102272).

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

127430946816 is a wasteful number, since it uses less digits than its factorization.

127430946816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2566 (or 2544 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 51.

It can be divided in two parts, 1274309 and 46816, that added together give a triangular number (1321125 = T₁₆₂₅).

The spelling of 127430946816 in words is "one hundred twenty-seven billion, four hundred thirty million, nine hundred forty-six thousand, eight hundred sixteen".