61326126144 has 84 divisors (see below), whose sum is σ = 176287413744. Its totient is φ = 20383064832.

The previous prime is 61326126139. The next prime is 61326126151. The reversal of 61326126144 is 44162162316.

61326126144 is a `hidden beast` number, since 6 + 1 + 3 + 26 + 12 + 614 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 61326126099 and 61326126108.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46459 + ... + 353285.

Almost surely, 2^61326126144 is an apocalyptic number.

61326126144 is a gapful number since it is divisible by the number (64) 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 61326126144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88143706872).

61326126144 is an abundant number, since it is smaller than the sum of its proper divisors (114961287600).

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

61326126144 is a wasteful number, since it uses less digits than its factorization.

61326126144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307192 (or 307179 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The spelling of 61326126144 in words is "sixty-one billion, three hundred twenty-six million, one hundred twenty-six thousand, one hundred forty-four".