338970145680 has 160 divisors (see below), whose sum is σ = 1176087225600. Its totient is φ = 89732164608.

The previous prime is 338970145667. The next prime is 338970145721. The reversal of 338970145680 is 86541079833.

338970145680 is a `hidden beast` number, since 3 + 3 + 8 + 9 + 70 + 1 + 4 + 568 + 0 = 666.

It is a super-2 number, since 2×338970145680² (a number of 24 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 276820 + ... + 868659.

It is an arithmetic number, because the mean of its divisors is an integer number (7350545160).

Almost surely, 2^338970145680 is an apocalyptic number.

338970145680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

338970145680 is an abundant number, since it is smaller than the sum of its proper divisors (837117079920).

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

338970145680 is a wasteful number, since it uses less digits than its factorization.

338970145680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1145638 (or 1145626 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 338970145680 in words is "three hundred thirty-eight billion, nine hundred seventy million, one hundred forty-five thousand, six hundred eighty".