38678401657456 has 80 divisors (see below), whose sum is σ = 82574711451648. Its totient is φ = 17404236576000.

The previous prime is 38678401657451. The next prime is 38678401657471. The reversal of 38678401657456 is 65475610487683.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38678401657451) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 113008921 + ... + 113350663.

Almost surely, 2^{38678401657456} 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 38678401657456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41287355725824).

38678401657456 is an abundant number, since it is smaller than the sum of its proper divisors (43896309794192).

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

38678401657456 is a wasteful number, since it uses less digits than its factorization.

38678401657456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348230 (or 348224 counting only the distinct ones).

The product of its (nonzero) digits is 812851200, while the sum is 70.

The spelling of 38678401657456 in words is "thirty-eight trillion, six hundred seventy-eight billion, four hundred one million, six hundred fifty-seven thousand, four hundred fifty-six".