58051141216146 has 96 divisors (see below), whose sum is σ = 136695714547392. Its totient is φ = 17698388423040.

The previous prime is 58051141216139. The next prime is 58051141216147. The reversal of 58051141216146 is 64161214115085.

58051141216146 is a `hidden beast` number, since 5 + 8 + 0 + 5 + 1 + 1 + 4 + 1 + 21 + 614 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (58051141216147) 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, 18567021 + ... + 21467103.

It is an arithmetic number, because the mean of its divisors is an integer number (1423913693202).

Almost surely, 2^{58051141216146} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58051141216146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68347857273696).

58051141216146 is an abundant number, since it is smaller than the sum of its proper divisors (78644573331246).

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

58051141216146 is a wasteful number, since it uses less digits than its factorization.

58051141216146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2900888 (or 2900885 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 45.

The spelling of 58051141216146 in words is "fifty-eight trillion, fifty-one billion, one hundred forty-one million, two hundred sixteen thousand, one hundred forty-six".