146459529216 has 1456 divisors, whose sum is σ = 601625673600. Its totient is φ = 35115171840.

The previous prime is 146459529131. The next prime is 146459529299. The reversal of 146459529216 is 612925954641.

It is a happy number.

146459529216 is a `hidden beast` number, since 1 + 4 + 6 + 4 + 595 + 29 + 21 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1456).

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

Its product of digits (4665600) is a multiple of the sum of its prime divisors (36).

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 111 ways as a sum of consecutive naturals, for example, 11266117626 + ... + 11266117638.

Almost surely, 2^146459529216 is an apocalyptic number.

146459529216 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 146459529216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300812836800).

146459529216 is an abundant number, since it is smaller than the sum of its proper divisors (455166144384).

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

146459529216 is an frugal number, since it uses more digits than its factorization.

146459529216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 36 counting only the distinct ones).

The product of its digits is 4665600, while the sum is 54.

The spelling of 146459529216 in words is "one hundred forty-six billion, four hundred fifty-nine million, five hundred twenty-nine thousand, two hundred sixteen".