38473971966144 has 840 divisors, whose sum is σ = 137217513721904. Its totient is φ = 10585387929600.

The previous prime is 38473971966121. The next prime is 38473971966161. The reversal of 38473971966144 is 44166917937483.

It is a happy number.

38473971966144 is a `hidden beast` number, since 3 + 8 + 4 + 7 + 397 + 1 + 96 + 6 + 144 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 497381679 + ... + 497459025.

Almost surely, 2^{38473971966144} 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 38473971966144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68608756860952).

38473971966144 is an abundant number, since it is smaller than the sum of its proper divisors (98743541755760).

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

38473971966144 is a wasteful number, since it uses less digits than its factorization.

38473971966144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77467 (or 77437 counting only the distinct ones).

The product of its digits is 658409472, while the sum is 72.

The spelling of 38473971966144 in words is "thirty-eight trillion, four hundred seventy-three billion, nine hundred seventy-one million, nine hundred sixty-six thousand, one hundred forty-four".