146414169408 has 168 divisors, whose sum is σ = 420680692800. Its totient is φ = 44921450496.

The previous prime is 146414169389. The next prime is 146414169439. The reversal of 146414169408 is 804961414641.

146414169408 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11642548 + ... + 11655116.

Almost surely, 2^146414169408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146414169408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210340346400).

146414169408 is an abundant number, since it is smaller than the sum of its proper divisors (274266523392).

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

146414169408 is a wasteful number, since it uses less digits than its factorization.

146414169408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12969 (or 12946 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 48.

The spelling of 146414169408 in words is "one hundred forty-six billion, four hundred fourteen million, one hundred sixty-nine thousand, four hundred eight".