61454305242 has 96 divisors (see below), whose sum is σ = 154836864000. Its totient is φ = 17418978720.

The previous prime is 61454305219. The next prime is 61454305243. The reversal of 61454305242 is 24250345416.

61454305242 is a `hidden beast` number, since 61 + 4 + 54 + 305 + 242 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 61454305197 and 61454305206.

It is not an unprimeable number, because it can be changed into a prime (61454305243) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 193809 + ... + 400587.

It is an arithmetic number, because the mean of its divisors is an integer number (1612884000).

Almost surely, 2^61454305242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61454305242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77418432000).

61454305242 is an abundant number, since it is smaller than the sum of its proper divisors (93382558758).

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

61454305242 is a wasteful number, since it uses less digits than its factorization.

61454305242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206896 (or 206893 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 61454305242 in words is "sixty-one billion, four hundred fifty-four million, three hundred five thousand, two hundred forty-two".