1238085218304 has 156 divisors (see below), whose sum is σ = 3901369302792. Its totient is φ = 375177216000.

The previous prime is 1238085218299. The next prime is 1238085218479. The reversal of 1238085218304 is 4038125808321.

1238085218304 is a `hidden beast` number, since 12 + 3 + 80 + 8 + 521 + 8 + 30 + 4 = 666.

It is a super-3 number, since 3×1238085218304³ (a number of 37 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1238085218304.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1121097 + ... + 1932104.

It is an arithmetic number, because the mean of its divisors is an integer number (25008777582).

Almost surely, 2^{1238085218304} is an apocalyptic number.

It is an amenable number.

1238085218304 is an abundant number, since it is smaller than the sum of its proper divisors (2663284084488).

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

1238085218304 is a wasteful number, since it uses less digits than its factorization.

1238085218304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3053242 (or 3053217 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 1238085218304 in words is "one trillion, two hundred thirty-eight billion, eighty-five million, two hundred eighteen thousand, three hundred four".