61046620128 has 288 divisors, whose sum is σ = 190533915936. Its totient is φ = 18426507264.

The previous prime is 61046620111. The next prime is 61046620139. The reversal of 61046620128 is 82102664016.

61046620128 is a `hidden beast` number, since 6 + 1 + 0 + 4 + 6 + 620 + 1 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a junction number, because it is equal to n+sod(n) for n = 61046620092 and 61046620101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 99586350 + ... + 99586962.

It is an arithmetic number, because the mean of its divisors is an integer number (661576097).

Almost surely, 2^61046620128 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 61046620128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95266957968).

61046620128 is an abundant number, since it is smaller than the sum of its proper divisors (129487295808).

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

61046620128 is a wasteful number, since it uses less digits than its factorization.

61046620128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1106 (or 1095 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 61046620128 in words is "sixty-one billion, forty-six million, six hundred twenty thousand, one hundred twenty-eight".