126961097984 has 216 divisors, whose sum is σ = 306060690600. Its totient is φ = 52347617280.

The previous prime is 126961097981. The next prime is 126961098001. The reversal of 126961097984 is 489790169621.

It can be written as a sum of positive squares in 4 ways, for example, as 907696384 + 126053401600 = 30128^2 + 355040^2 .

It is a super-2 number, since 2×126961097984² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126961097981) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 153149282 + ... + 153150110.

Almost surely, 2^126961097984 is an apocalyptic number.

126961097984 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 126961097984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153030345300).

126961097984 is an abundant number, since it is smaller than the sum of its proper divisors (179099592616).

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

126961097984 is an equidigital number, since it uses as much as digits as its factorization.

126961097984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1309 (or 1288 counting only the distinct ones).

The product of its (nonzero) digits is 11757312, while the sum is 62.

The spelling of 126961097984 in words is "one hundred twenty-six billion, nine hundred sixty-one million, ninety-seven thousand, nine hundred eighty-four".