38043835516512 has 384 divisors, whose sum is σ = 136742943052800. Its totient is φ = 10046417817600.

The previous prime is 38043835516481. The next prime is 38043835516613. The reversal of 38043835516512 is 21561553834083.

38043835516512 is a `hidden beast` number, since 3 + 8 + 0 + 4 + 3 + 83 + 551 + 6 + 5 + 1 + 2 = 666.

It is a super-2 number, since 2×38043835516512² (a number of 28 digits) contains 22 as substring.

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

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 673962 + ... + 8748822.

It is an arithmetic number, because the mean of its divisors is an integer number (356101414200).

Almost surely, 2^{38043835516512} is an apocalyptic number.

38043835516512 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 38043835516512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68371471526400).

38043835516512 is an abundant number, since it is smaller than the sum of its proper divisors (98699107536288).

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

38043835516512 is a wasteful number, since it uses less digits than its factorization.

38043835516512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8074947 (or 8074933 counting only the distinct ones).

The product of its (nonzero) digits is 10368000, while the sum is 54.

The spelling of 38043835516512 in words is "thirty-eight trillion, forty-three billion, eight hundred thirty-five million, five hundred sixteen thousand, five hundred twelve".