146227993632 has 810 divisors, whose sum is σ = 532491926967. Its totient is φ = 39248520192.

The previous prime is 146227993627. The next prime is 146227993657. The reversal of 146227993632 is 236399722641.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

146227993632 is a `hidden beast` number, since 1 + 4 + 6 + 2 + 279 + 9 + 363 + 2 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 132965246736 + 13262746896 = 364644^2 + 115164^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=270396.

It is a super-2 number, since 2×146227993632² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

Its product of digits (5878656) is a multiple of the sum of its prime factors (168).

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 3952107918 + ... + 3952107954.

Almost surely, 2^146227993632 is an apocalyptic number.

146227993632 is a gapful number since it is divisible by the number (12) 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 146227993632

146227993632 is an abundant number, since it is smaller than the sum of its proper divisors (386263933335).

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

146227993632 is an equidigital number, since it uses as much as digits as its factorization.

146227993632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 78 counting only the distinct ones).

The product of its digits is 5878656, while the sum is 54.

The spelling of 146227993632 in words is "one hundred forty-six billion, two hundred twenty-seven million, nine hundred ninety-three thousand, six hundred thirty-two".