38111967647712 has 288 divisors, whose sum is σ = 125258191478784. Its totient is φ = 10767241267200.

The previous prime is 38111967647707. The next prime is 38111967647723. The reversal of 38111967647712 is 21774676911183.

It is a happy number.

38111967647712 is a `hidden beast` number, since 3 + 8 + 1 + 1 + 1 + 96 + 76 + 477 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×38111967647712³ (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 38111967647712.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 64008012 + ... + 64600692.

It is an arithmetic number, because the mean of its divisors is an integer number (434924275968).

Almost surely, 2^{38111967647712} is an apocalyptic number.

38111967647712 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 38111967647712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62629095739392).

38111967647712 is an abundant number, since it is smaller than the sum of its proper divisors (87146223831072).

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

38111967647712 is a wasteful number, since it uses less digits than its factorization.

38111967647712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 593062 (or 593051 counting only the distinct ones).

The product of its digits is 21337344, while the sum is 63.

The spelling of 38111967647712 in words is "thirty-eight trillion, one hundred eleven billion, nine hundred sixty-seven million, six hundred forty-seven thousand, seven hundred twelve".