146984629284864 has 936 divisors, whose sum is σ = 521766504071280. Its totient is φ = 39641127321600.

The previous prime is 146984629284839. The next prime is 146984629284869. The reversal of 146984629284864 is 468482926489641.

146984629284864 is a `hidden beast` number, since 1 + 4 + 6 + 9 + 8 + 46 + 2 + 92 + 8 + 486 + 4 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (146984629284869) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9644020284 + ... + 9644035524.

It is an arithmetic number, because the mean of its divisors is an integer number (557442846230).

Almost surely, 2^{146984629284864} is an apocalyptic number.

146984629284864 is a gapful number since it is divisible by the number (14) 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 146984629284864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260883252035640).

146984629284864 is an abundant number, since it is smaller than the sum of its proper divisors (374781874786416).

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

146984629284864 is a wasteful number, since it uses less digits than its factorization.

146984629284864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15585 (or 15553 counting only the distinct ones).

The product of its digits is 9172942848, while the sum is 81.

The spelling of 146984629284864 in words is "one hundred forty-six trillion, nine hundred eighty-four billion, six hundred twenty-nine million, two hundred eighty-four thousand, eight hundred sixty-four".