126964837045944 has 320 divisors, whose sum is σ = 388178768244960. Its totient is φ = 38613049712640.

The previous prime is 126964837045939. The next prime is 126964837045967. The reversal of 126964837045944 is 449540738469621.

126964837045944 is a `hidden beast` number, since 1 + 2 + 6 + 9 + 64 + 8 + 3 + 70 + 459 + 44 = 666.

126964837045944 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×126964837045944² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 70014739 + ... + 71805245.

It is a 2-persistent number, because it is pandigital, and so is 2⋅126964837045944 = 253929674091888, but 3⋅126964837045944 = 380894511137832 is not.

Almost surely, 2^{126964837045944} 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 126964837045944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194089384122480).

126964837045944 is an abundant number, since it is smaller than the sum of its proper divisors (261213931199016).

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

126964837045944 is a wasteful number, since it uses less digits than its factorization.

126964837045944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1790740 (or 1790727 counting only the distinct ones).

The product of its (nonzero) digits is 1254113280, while the sum is 72.

The spelling of 126964837045944 in words is "one hundred twenty-six trillion, nine hundred sixty-four billion, eight hundred thirty-seven million, forty-five thousand, nine hundred forty-four".