146630511256320 has 6912 divisors, whose sum is σ = 734267068416000. Its totient is φ = 26972465135616.

The previous prime is 146630511256279. The next prime is 146630511256331. The reversal of 146630511256320 is 23652115036641.

It is a happy number.

146630511256320 is a `hidden beast` number, since 1 + 4 + 6 + 6 + 3 + 0 + 5 + 1 + 1 + 2 + 5 + 632 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6912).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 518129014899 + ... + 518129015181.

It is an arithmetic number, because the mean of its divisors is an integer number (106230768000).

Almost surely, 2^{146630511256320} is an apocalyptic number.

146630511256320 is a gapful number since it is divisible by the number (10) 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 146630511256320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367133534208000).

146630511256320 is an abundant number, since it is smaller than the sum of its proper divisors (587636557159680).

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

146630511256320 is a wasteful number, since it uses less digits than its factorization.

146630511256320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 146630511256320 in words is "one hundred forty-six trillion, six hundred thirty billion, five hundred eleven million, two hundred fifty-six thousand, three hundred twenty".