146609438976 has 648 divisors, whose sum is σ = 571954859840. Its totient is φ = 35145031680.

The previous prime is 146609438947. The next prime is 146609439017. The reversal of 146609438976 is 679834906641.

146609438976 is a `hidden beast` number, since 1 + 46 + 60 + 94 + 389 + 76 = 666.

It is a super-3 number, since 3×146609438976³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 25366455 + ... + 25372233.

Almost surely, 2^146609438976 is an apocalyptic number.

146609438976 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 146609438976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285977429920).

146609438976 is an abundant number, since it is smaller than the sum of its proper divisors (425345420864).

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

146609438976 is a wasteful number, since it uses less digits than its factorization.

146609438976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5843 (or 5815 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 63.

It can be divided in two parts, 146609 and 438976, that added together give a palindrome (585585).

The spelling of 146609438976 in words is "one hundred forty-six billion, six hundred nine million, four hundred thirty-eight thousand, nine hundred seventy-six".