61458146442 has 128 divisors (see below), whose sum is σ = 170363934720. Its totient is φ = 15954693120.

The previous prime is 61458146359. The next prime is 61458146471. The reversal of 61458146442 is 24464185416.

61458146442 is a `hidden beast` number, since 6 + 1 + 4 + 581 + 4 + 64 + 4 + 2 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13149418 + ... + 13154090.

It is an arithmetic number, because the mean of its divisors is an integer number (1330968240).

Almost surely, 2^61458146442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61458146442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85181967360).

61458146442 is an abundant number, since it is smaller than the sum of its proper divisors (108905788278).

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

61458146442 is a wasteful number, since it uses less digits than its factorization.

61458146442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7865 (or 7859 counting only the distinct ones).

The product of its digits is 737280, while the sum is 45.

The spelling of 61458146442 in words is "sixty-one billion, four hundred fifty-eight million, one hundred forty-six thousand, four hundred forty-two".