38046609261696 has 320 divisors, whose sum is σ = 118282753622880. Its totient is φ = 10834970517504.

The previous prime is 38046609261677. The next prime is 38046609261697. The reversal of 38046609261696 is 69616290664083.

It is not an unprimeable number, because it can be changed into a prime (38046609261697) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 282981880 + ... + 283116296.

Almost surely, 2^{38046609261696} 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 38046609261696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59141376811440).

38046609261696 is an abundant number, since it is smaller than the sum of its proper divisors (80236144361184).

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

38046609261696 is an equidigital number, since it uses as much as digits as its factorization.

38046609261696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134769 (or 134736 counting only the distinct ones).

The product of its (nonzero) digits is 120932352, while the sum is 66.

The spelling of 38046609261696 in words is "thirty-eight trillion, forty-six billion, six hundred nine million, two hundred sixty-one thousand, six hundred ninety-six".