146916651840 has 896 divisors, whose sum is σ = 583085813760. Its totient is φ = 30592401408.

The previous prime is 146916651797. The next prime is 146916651851. The reversal of 146916651840 is 48156619641.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 647209807 + ... + 647210033.

Almost surely, 2^146916651840 is an apocalyptic number.

146916651840 is a gapful number since it is divisible by the number (10) 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 146916651840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291542906880).

146916651840 is an abundant number, since it is smaller than the sum of its proper divisors (436169161920).

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

146916651840 is a wasteful number, since it uses less digits than its factorization.

146916651840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 51.

The spelling of 146916651840 in words is "one hundred forty-six billion, nine hundred sixteen million, six hundred fifty-one thousand, eight hundred forty".