146411629056 has 1920 divisors, whose sum is σ = 617720463360. Its totient is φ = 33443020800.

The previous prime is 146411629037. The next prime is 146411629103. The reversal of 146411629056 is 650926114641.

146411629056 is a `hidden beast` number, since 1 + 4 + 6 + 4 + 11 + 629 + 0 + 5 + 6 = 666.

It is a super-2 number, since 2×146411629056² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4722955761 + ... + 4722955791.

It is an arithmetic number, because the mean of its divisors is an integer number (321729408).

Almost surely, 2^146411629056 is an apocalyptic number.

146411629056 is a gapful number since it is divisible by the number (16) 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 146411629056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308860231680).

146411629056 is an abundant number, since it is smaller than the sum of its proper divisors (471308834304).

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

146411629056 is a wasteful number, since it uses less digits than its factorization.

146411629056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 146411629056 in words is "one hundred forty-six billion, four hundred eleven million, six hundred twenty-nine thousand, fifty-six".