58629842496 has 441 divisors, whose sum is σ = 187272835131. Its totient is φ = 18200878848.

The previous prime is 58629842461. The next prime is 58629842497. The reversal of 58629842496 is 69424892685.

The square root of 58629842496 is 242136.

It is a perfect power (a square), and thus also a powerful number.

58629842496 is a `hidden beast` number, since 5 + 8 + 62 + 9 + 84 + 2 + 496 = 666.

It is a super-2 number, since 2×58629842496² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (58629842497) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 993726115 + ... + 993726173.

Almost surely, 2^58629842496 is an apocalyptic number.

58629842496 is the 242136-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58629842496

58629842496 is an abundant number, since it is smaller than the sum of its proper divisors (128642992635).

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

58629842496 is an frugal number, since it uses more digits than its factorization.

58629842496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 83 counting only the distinct ones).

The product of its digits is 59719680, while the sum is 63.

The spelling of 58629842496 in words is "fifty-eight billion, six hundred twenty-nine million, eight hundred forty-two thousand, four hundred ninety-six".