145776460508352 has 1512 divisors, whose sum is σ = 497815725382560. Its totient is φ = 42213453004800.

The previous prime is 145776460508339. The next prime is 145776460508401. The reversal of 145776460508352 is 253805064677541.

145776460508352 is a `hidden beast` number, since 1 + 4 + 5 + 7 + 7 + 64 + 60 + 508 + 3 + 5 + 2 = 666.

It is a super-2 number, since 2×145776460508352² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 145776460508352.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 80941953852 + ... + 80941955652.

Almost surely, 2^{145776460508352} is an apocalyptic number.

145776460508352 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 145776460508352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248907862691280).

145776460508352 is an abundant number, since it is smaller than the sum of its proper divisors (352039264874208).

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

145776460508352 is an equidigital number, since it uses as much as digits as its factorization.

145776460508352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1923 (or 1875 counting only the distinct ones).

The product of its (nonzero) digits is 169344000, while the sum is 63.

The spelling of 145776460508352 in words is "one hundred forty-five trillion, seven hundred seventy-six billion, four hundred sixty million, five hundred eight thousand, three hundred fifty-two".