38086731215064 has 512 divisors, whose sum is σ = 126390122496000. Its totient is φ = 10398191616000.

The previous prime is 38086731215063. The next prime is 38086731215069. The reversal of 38086731215064 is 46051213768083.

38086731215064 is a `hidden beast` number, since 3 + 8 + 0 + 8 + 6 + 7 + 3 + 121 + 506 + 4 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 38086731215064.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38086731215063) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 1765798072 + ... + 1765819640.

It is an arithmetic number, because the mean of its divisors is an integer number (246855708000).

Almost surely, 2^{38086731215064} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38086731215064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63195061248000).

38086731215064 is an abundant number, since it is smaller than the sum of its proper divisors (88303391280936).

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

38086731215064 is a wasteful number, since it uses less digits than its factorization.

38086731215064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22096 (or 22086 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 38086731215064 in words is "thirty-eight trillion, eighty-six billion, seven hundred thirty-one million, two hundred fifteen thousand, sixty-four".