127499914113264 has 600 divisors, whose sum is σ = 468845941033008. Its totient is φ = 33077882234880.

The previous prime is 127499914113259. The next prime is 127499914113307. The reversal of 127499914113264 is 462311419994721.

It is a happy number.

127499914113264 is a `hidden beast` number, since 1 + 2 + 7 + 49 + 9 + 91 + 411 + 32 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 595751044 + ... + 595965020.

Almost surely, 2^{127499914113264} is an apocalyptic number.

127499914113264 is a gapful number since it is divisible by the number (14) 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 127499914113264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234422970516504).

127499914113264 is an abundant number, since it is smaller than the sum of its proper divisors (341346026919744).

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

127499914113264 is a wasteful number, since it uses less digits than its factorization.

127499914113264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214875 (or 214853 counting only the distinct ones).

The product of its digits is 23514624, while the sum is 63.

The spelling of 127499914113264 in words is "one hundred twenty-seven trillion, four hundred ninety-nine billion, nine hundred fourteen million, one hundred thirteen thousand, two hundred sixty-four".