145824593355 has 64 divisors (see below), whose sum is σ = 299212185600. Its totient is φ = 66002601600.

The previous prime is 145824593329. The next prime is 145824593393. The reversal of 145824593355 is 553395428541.

145824593355 is a `hidden beast` number, since 1 + 4 + 582 + 4 + 5 + 9 + 3 + 3 + 55 = 666.

It is not a de Polignac number, because 145824593355 - 2⁵ = 145824593323 is a prime.

It is a super-2 number, since 2×145824593355² (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 63 ways as a sum of consecutive naturals, for example, 668475 + ... + 859364.

It is an arithmetic number, because the mean of its divisors is an integer number (4675190400).

Almost surely, 2^145824593355 is an apocalyptic number.

145824593355 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

145824593355 is an abundant number, since it is smaller than the sum of its proper divisors (153387592245).

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

145824593355 is a wasteful number, since it uses less digits than its factorization.

145824593355 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1527961 (or 1527955 counting only the distinct ones).

The product of its digits is 12960000, while the sum is 54.

The spelling of 145824593355 in words is "one hundred forty-five billion, eight hundred twenty-four million, five hundred ninety-three thousand, three hundred fifty-five".