127069691451264 has 192 divisors, whose sum is σ = 374699212196400. Its totient is φ = 41309742735360.

The previous prime is 127069691451247. The next prime is 127069691451277. The reversal of 127069691451264 is 462154196960721.

127069691451264 is a `hidden beast` number, since 1 + 2 + 7 + 0 + 6 + 96 + 91 + 451 + 2 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×127069691451264² (a number of 29 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 142147842 + ... + 143038974.

Almost surely, 2^{127069691451264} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 127069691451264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187349606098200).

127069691451264 is an abundant number, since it is smaller than the sum of its proper divisors (247629520745136).

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

127069691451264 is a wasteful number, since it uses less digits than its factorization.

127069691451264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 894213 (or 894198 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 127069691451264 in words is "one hundred twenty-seven trillion, sixty-nine billion, six hundred ninety-one million, four hundred fifty-one thousand, two hundred sixty-four".