61126990848 has 880 divisors, whose sum is σ = 241393768704. Its totient is φ = 14916648960.

The previous prime is 61126990787. The next prime is 61126990853. The reversal of 61126990848 is 84809962116.

61126990848 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 61126990794 and 61126990803.

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, 108573415 + ... + 108573977.

Almost surely, 2^61126990848 is an apocalyptic number.

61126990848 is a gapful number since it is divisible by the number (68) 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 61126990848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120696884352).

61126990848 is an abundant number, since it is smaller than the sum of its proper divisors (180266777856).

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

61126990848 is a wasteful number, since it uses less digits than its factorization.

61126990848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 630 (or 603 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The spelling of 61126990848 in words is "sixty-one billion, one hundred twenty-six million, nine hundred ninety thousand, eight hundred forty-eight".