58148691216 has 720 divisors, whose sum is σ = 206572195200. Its totient is φ = 14074368000.

The previous prime is 58148691193. The next prime is 58148691217. The reversal of 58148691216 is 61219684185.

It is a happy number.

58148691216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×58148691216⁴ (a number of 44 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (58148691217) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 575729566 + ... + 575729666.

Almost surely, 2^58148691216 is an apocalyptic number.

58148691216 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58148691216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103286097600).

58148691216 is an abundant number, since it is smaller than the sum of its proper divisors (148423503984).

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

58148691216 is a wasteful number, since it uses less digits than its factorization.

58148691216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 141 counting only the distinct ones).

The product of its digits is 829440, while the sum is 51.

The spelling of 58148691216 in words is "fifty-eight billion, one hundred forty-eight million, six hundred ninety-one thousand, two hundred sixteen".