38552611521816 has 384 divisors, whose sum is σ = 132145935667200. Its totient is φ = 10292128842240.

The previous prime is 38552611521811. The next prime is 38552611521863. The reversal of 38552611521816 is 61812511625583.

38552611521816 is a `hidden beast` number, since 3 + 8 + 5 + 5 + 2 + 611 + 5 + 2 + 1 + 8 + 16 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38552611521811) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10657906 + ... + 13809278.

It is an arithmetic number, because the mean of its divisors is an integer number (344130040800).

Almost surely, 2^{38552611521816} is an apocalyptic number.

38552611521816 is a gapful number since it is divisible by the number (36) 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 38552611521816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66072967833600).

38552611521816 is an abundant number, since it is smaller than the sum of its proper divisors (93593324145384).

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

38552611521816 is a wasteful number, since it uses less digits than its factorization.

38552611521816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3151461 (or 3151445 counting only the distinct ones).

The product of its digits is 3456000, while the sum is 54.

The spelling of 38552611521816 in words is "thirty-eight trillion, five hundred fifty-two billion, six hundred eleven million, five hundred twenty-one thousand, eight hundred sixteen".