146414158506 has 192 divisors, whose sum is σ = 399037317120. Its totient is φ = 37691671680.

The previous prime is 146414158493. The next prime is 146414158531. The reversal of 146414158506 is 605851414641.

146414158506 is a `hidden beast` number, since 1 + 4 + 64 + 1 + 4 + 1 + 585 + 0 + 6 = 666.

It is a super-2 number, since 2×146414158506² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 134695095 + ... + 134696181.

It is an arithmetic number, because the mean of its divisors is an integer number (2078319360).

Almost surely, 2^146414158506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146414158506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199518658560).

146414158506 is an abundant number, since it is smaller than the sum of its proper divisors (252623158614).

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

146414158506 is a wasteful number, since it uses less digits than its factorization.

146414158506 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1889 (or 1886 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 146414158506 in words is "one hundred forty-six billion, four hundred fourteen million, one hundred fifty-eight thousand, five hundred six".