127048625731456 has 192 divisors, whose sum is σ = 310844307921840. Its totient is φ = 50989411123200.

The previous prime is 127048625731409. The next prime is 127048625731457. The reversal of 127048625731456 is 654137526840721.

It is a super-2 number, since 2×127048625731456² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 127048625731394 and 127048625731403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127048625731457) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3122296 + ... + 16243336.

Almost surely, 2^{127048625731456} is an apocalyptic number.

127048625731456 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 127048625731456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155422153960920).

127048625731456 is an abundant number, since it is smaller than the sum of its proper divisors (183795682190384).

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

127048625731456 is a wasteful number, since it uses less digits than its factorization.

127048625731456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13121125 (or 13121090 counting only the distinct ones).

The product of its (nonzero) digits is 67737600, while the sum is 61.

The spelling of 127048625731456 in words is "one hundred twenty-seven trillion, forty-eight billion, six hundred twenty-five million, seven hundred thirty-one thousand, four hundred fifty-six".