146931646464 has 340 divisors, whose sum is σ = 445337315280. Its totient is φ = 48271196160.

The previous prime is 146931646457. The next prime is 146931646481. The reversal of 146931646464 is 464646139641.

146931646464 is a `hidden beast` number, since 1 + 46 + 93 + 16 + 46 + 464 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 146931646464.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 472448869 + ... + 472449179.

Almost surely, 2^146931646464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146931646464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222668657640).

146931646464 is an abundant number, since it is smaller than the sum of its proper divisors (298405668816).

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

146931646464 is an frugal number, since it uses more digits than its factorization.

146931646464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444 (or 405 counting only the distinct ones).

The product of its digits is 8957952, while the sum is 54.

The spelling of 146931646464 in words is "one hundred forty-six billion, nine hundred thirty-one million, six hundred forty-six thousand, four hundred sixty-four".