146263864320 has 440 divisors, whose sum is σ = 599014166784. Its totient is φ = 33431076864.

The previous prime is 146263864319. The next prime is 146263864333. The reversal of 146263864320 is 23468362641.

146263864320 is a `hidden beast` number, since 1 + 4 + 6 + 2 + 638 + 6 + 4 + 3 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2877849 + ... + 2928231.

Almost surely, 2^146263864320 is an apocalyptic number.

146263864320 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 146263864320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299507083392).

146263864320 is an abundant number, since it is smaller than the sum of its proper divisors (452750302464).

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

146263864320 is an equidigital number, since it uses as much as digits as its factorization.

146263864320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50427 (or 50400 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The spelling of 146263864320 in words is "one hundred forty-six billion, two hundred sixty-three million, eight hundred sixty-four thousand, three hundred twenty".