146450011620 has 192 divisors, whose sum is σ = 457120806912. Its totient is φ = 34734336000.

The previous prime is 146450011601. The next prime is 146450011663. The reversal of 146450011620 is 26110054641.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6126732 + ... + 6150588.

It is an arithmetic number, because the mean of its divisors is an integer number (2380837536).

Almost surely, 2^146450011620 is an apocalyptic number.

146450011620 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 146450011620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228560403456).

146450011620 is an abundant number, since it is smaller than the sum of its proper divisors (310670795292).

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

146450011620 is a wasteful number, since it uses less digits than its factorization.

146450011620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24082 (or 24080 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The spelling of 146450011620 in words is "one hundred forty-six billion, four hundred fifty million, eleven thousand, six hundred twenty".