146612144430 has 192 divisors, whose sum is σ = 415141728768. Its totient is φ = 35748864000.

The previous prime is 146612144429. The next prime is 146612144501. The reversal of 146612144430 is 34441216641.

146612144430 is a `hidden beast` number, since 1 + 4 + 6 + 6 + 1 + 214 + 4 + 430 = 666.

It is a congruent number.

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, 48852930 + ... + 48855930.

It is an arithmetic number, because the mean of its divisors is an integer number (2162196504).

Almost surely, 2^146612144430 is an apocalyptic number.

146612144430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 146612144430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207570864384).

146612144430 is an abundant number, since it is smaller than the sum of its proper divisors (268529584338).

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

146612144430 is a wasteful number, since it uses less digits than its factorization.

146612144430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3931 (or 3928 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 146612144430 in words is "one hundred forty-six billion, six hundred twelve million, one hundred forty-four thousand, four hundred thirty".