368142041068032 has 640 divisors, whose sum is σ = 1262591111282688. Its totient is φ = 92508173107200.

The previous prime is 368142041067929. The next prime is 368142041068049. The reversal of 368142041068032 is 230860140241863.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 13466791068 + ... + 13466818404.

Almost surely, 2^{368142041068032} is an apocalyptic number.

368142041068032 is a gapful number since it is divisible by the number (32) 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 368142041068032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (631295555641344).

368142041068032 is an abundant number, since it is smaller than the sum of its proper divisors (894449070214656).

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

368142041068032 is a wasteful number, since it uses less digits than its factorization.

368142041068032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31080 (or 31064 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 48.

The spelling of 368142041068032 in words is "three hundred sixty-eight trillion, one hundred forty-two billion, forty-one million, sixty-eight thousand, thirty-two".