126771864048 has 320 divisors, whose sum is σ = 386255278080. Its totient is φ = 39728063232.

The previous prime is 126771864017. The next prime is 126771864053. The reversal of 126771864048 is 840468177621.

It is a super-2 number, since 2×126771864048² (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 junction number, because it is equal to n+sod(n) for n = 126771863985 and 126771864003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 286166515 + ... + 286166957.

It is an arithmetic number, because the mean of its divisors is an integer number (1207047744).

Almost surely, 2^126771864048 is an apocalyptic number.

126771864048 is a gapful number since it is divisible by the number (18) 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 126771864048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193127639040).

126771864048 is an abundant number, since it is smaller than the sum of its proper divisors (259483414032).

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

126771864048 is a wasteful number, since it uses less digits than its factorization.

126771864048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 913 (or 901 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 54.

The spelling of 126771864048 in words is "one hundred twenty-six billion, seven hundred seventy-one million, eight hundred sixty-four thousand, forty-eight".