38463368946912 has 960 divisors, whose sum is σ = 142102067627520. Its totient is φ = 9936223064064.

The previous prime is 38463368946911. The next prime is 38463368946913. The reversal of 38463368946912 is 21964986336483.

38463368946912 is a `hidden beast` number, since 3 + 8 + 46 + 3 + 36 + 89 + 469 + 12 = 666.

It is an interprime number because it is at equal distance from previous prime (38463368946911) and next prime (38463368946913).

It is a Harshad number since it is a multiple of its sum of digits (72).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38463368946911) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2828806098 + ... + 2828819694.

It is an arithmetic number, because the mean of its divisors is an integer number (148022987112).

Almost surely, 2^{38463368946912} is an apocalyptic number.

38463368946912 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 38463368946912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71051033813760).

38463368946912 is an abundant number, since it is smaller than the sum of its proper divisors (103638698680608).

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

38463368946912 is a wasteful number, since it uses less digits than its factorization.

38463368946912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13885 (or 13868 counting only the distinct ones).

The product of its digits is 967458816, while the sum is 72.

The spelling of 38463368946912 in words is "thirty-eight trillion, four hundred sixty-three billion, three hundred sixty-eight million, nine hundred forty-six thousand, nine hundred twelve".