126377406016 has 63 divisors (see below), whose sum is σ = 257955976467. Its totient is φ = 61429708800.

The previous prime is 126377406011. The next prime is 126377406017. The reversal of 126377406016 is 610604773621.

The square root of 126377406016 is 355496.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 10298190400 + 116079215616 = 101480^2 + 340704^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (126377406011) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 105226216 + ... + 105227416.

It is an arithmetic number, because the mean of its divisors is an integer number (4094539309).

Almost surely, 2^126377406016 is an apocalyptic number.

126377406016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

126377406016 is the 355496-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126377406016

126377406016 is an abundant number, since it is smaller than the sum of its proper divisors (131578570451).

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

126377406016 is an frugal number, since it uses more digits than its factorization.

126377406016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2488 (or 1240 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 43.

The spelling of 126377406016 in words is "one hundred twenty-six billion, three hundred seventy-seven million, four hundred six thousand, sixteen".