61346442000 has 160 divisors (see below), whose sum is σ = 197904904704. Its totient is φ = 16348800000.

The previous prime is 61346441917. The next prime is 61346442011. The reversal of 61346442000 is 24464316.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18004297 + ... + 18007703.

Almost surely, 2^61346442000 is an apocalyptic number.

61346442000 is a gapful number since it is divisible by the number (60) 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 61346442000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98952452352).

61346442000 is an abundant number, since it is smaller than the sum of its proper divisors (136558462704).

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

61346442000 is a wasteful number, since it uses less digits than its factorization.

61346442000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6434 (or 6418 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The spelling of 61346442000 in words is "sixty-one billion, three hundred forty-six million, four hundred forty-two thousand".