146830477248 has 1008 divisors, whose sum is σ = 562960235520. Its totient is φ = 37362124800.

The previous prime is 146830477247. The next prime is 146830477253. The reversal of 146830477248 is 842774038641.

146830477248 is a `hidden beast` number, since 1 + 468 + 30 + 47 + 72 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 146830477194 and 146830477203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146830477243) 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, 443596443 + ... + 443596773.

Almost surely, 2^146830477248 is an apocalyptic number.

146830477248 is a gapful number since it is divisible by the number (18) 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 146830477248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281480117760).

146830477248 is an abundant number, since it is smaller than the sum of its proper divisors (416129758272).

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

146830477248 is a wasteful number, since it uses less digits than its factorization.

146830477248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 7225344, while the sum is 54.

The spelling of 146830477248 in words is "one hundred forty-six billion, eight hundred thirty million, four hundred seventy-seven thousand, two hundred forty-eight".