126992831616 has 320 divisors, whose sum is σ = 432925764480. Its totient is φ = 36199084032.

The previous prime is 126992831597. The next prime is 126992831629. The reversal of 126992831616 is 616138299621.

126992831616 is a `hidden beast` number, since 12 + 6 + 9 + 9 + 2 + 8 + 3 + 1 + 616 = 666.

It is a super-2 number, since 2×126992831616² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 35342716 + ... + 35346308.

It is an arithmetic number, because the mean of its divisors is an integer number (1352893014).

Almost surely, 2^126992831616 is an apocalyptic number.

126992831616 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 126992831616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216462882240).

126992831616 is an abundant number, since it is smaller than the sum of its proper divisors (305932932864).

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

126992831616 is an equidigital number, since it uses as much as digits as its factorization.

126992831616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4113 (or 4092 counting only the distinct ones).

The product of its digits is 1679616, while the sum is 54.

The spelling of 126992831616 in words is "one hundred twenty-six billion, nine hundred ninety-two million, eight hundred thirty-one thousand, six hundred sixteen".