145414361564304 has 80 divisors (see below), whose sum is σ = 432595832570880. Its totient is φ = 41229808064640.

The previous prime is 145414361564299. The next prime is 145414361564317. The reversal of 145414361564304 is 403465163414541.

It is a super-2 number, since 2×145414361564304² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1651791244 + ... + 1651879275.

It is an arithmetic number, because the mean of its divisors is an integer number (5407447907136).

Almost surely, 2^{145414361564304} is an apocalyptic number.

145414361564304 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

145414361564304 is an abundant number, since it is smaller than the sum of its proper divisors (287181471006576).

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

145414361564304 is a wasteful number, since it uses less digits than its factorization.

145414361564304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3303670668 (or 3303670662 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 51.

The spelling of 145414361564304 in words is "one hundred forty-five trillion, four hundred fourteen billion, three hundred sixty-one million, five hundred sixty-four thousand, three hundred four".