38891647420416 has 576 divisors, whose sum is σ = 134978148264960. Its totient is φ = 10547532103680.

The previous prime is 38891647420387. The next prime is 38891647420447. The reversal of 38891647420416 is 61402474619883.

38891647420416 is a `hidden beast` number, since 3 + 8 + 8 + 9 + 164 + 7 + 420 + 41 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×38891647420416² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 388699291 + ... + 388799333.

It is an arithmetic number, because the mean of its divisors is an integer number (234337062960).

Almost surely, 2^{38891647420416} is an apocalyptic number.

38891647420416 is a gapful number since it is divisible by the number (36) 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 38891647420416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67489074132480).

38891647420416 is an abundant number, since it is smaller than the sum of its proper divisors (96086500844544).

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

38891647420416 is a wasteful number, since it uses less digits than its factorization.

38891647420416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100232 (or 100209 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 63.

The spelling of 38891647420416 in words is "thirty-eight trillion, eight hundred ninety-one billion, six hundred forty-seven million, four hundred twenty thousand, four hundred sixteen".