145222689024 has 360 divisors, whose sum is σ = 496634506368. Its totient is φ = 41345925120.

The previous prime is 145222689013. The next prime is 145222689047. The reversal of 145222689024 is 420986222541.

145222689024 is a `hidden beast` number, since 1 + 4 + 522 + 26 + 89 + 0 + 24 = 666.

It is a super-2 number, since 2×145222689024² (a number of 23 digits) contains 22 as substring.

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, 45140664 + ... + 45143880.

Almost surely, 2^145222689024 is an apocalyptic number.

145222689024 is a gapful number since it is divisible by the number (14) 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 145222689024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248317253184).

145222689024 is an abundant number, since it is smaller than the sum of its proper divisors (351411817344).

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

145222689024 is an equidigital number, since it uses as much as digits as its factorization.

145222689024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3563 (or 3540 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 145222689024 in words is "one hundred forty-five billion, two hundred twenty-two million, six hundred eighty-nine thousand, twenty-four".