61458052428 has 288 divisors, whose sum is σ = 174004346880. Its totient is φ = 18917141760.

The previous prime is 61458052427. The next prime is 61458052489. The reversal of 61458052428 is 82425085416.

61458052428 is a `hidden beast` number, since 6 + 1 + 45 + 80 + 524 + 2 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (61458052427) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 157989658 + ... + 157990046.

It is an arithmetic number, because the mean of its divisors is an integer number (604181760).

Almost surely, 2^61458052428 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 61458052428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87002173440).

61458052428 is an abundant number, since it is smaller than the sum of its proper divisors (112546294452).

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

61458052428 is a wasteful number, since it uses less digits than its factorization.

61458052428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 659 (or 645 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The spelling of 61458052428 in words is "sixty-one billion, four hundred fifty-eight million, fifty-two thousand, four hundred twenty-eight".