146689449984 has 1176 divisors, whose sum is σ = 571579278480. Its totient is φ = 36787322880.

The previous prime is 146689449947. The next prime is 146689449989. The reversal of 146689449984 is 489944986641.

146689449984 is a `hidden beast` number, since 1 + 46 + 6 + 8 + 94 + 499 + 8 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146689449989) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 5058256882 + ... + 5058256910.

Almost surely, 2^146689449984 is an apocalyptic number.

146689449984 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 146689449984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285789639240).

146689449984 is an abundant number, since it is smaller than the sum of its proper divisors (424889828496).

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

146689449984 is an frugal number, since it uses more digits than its factorization.

146689449984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 52 counting only the distinct ones).

The product of its digits is 429981696, while the sum is 72.

The spelling of 146689449984 in words is "one hundred forty-six billion, six hundred eighty-nine million, four hundred forty-nine thousand, nine hundred eighty-four".