38363972521248 has 288 divisors, whose sum is σ = 120180781086912. Its totient is φ = 11511718041600.

The previous prime is 38363972521213. The next prime is 38363972521271. The reversal of 38363972521248 is 84212527936383.

38363972521248 is a `hidden beast` number, since 3 + 8 + 3 + 6 + 39 + 72 + 521 + 2 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×38363972521248² (a number of 28 digits) contains 22 as substring.

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, 807078090 + ... + 807125622.

It is an arithmetic number, because the mean of its divisors is an integer number (417294378774).

Almost surely, 2^{38363972521248} 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 38363972521248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60090390543456).

38363972521248 is an abundant number, since it is smaller than the sum of its proper divisors (81816808565664).

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

38363972521248 is a wasteful number, since it uses less digits than its factorization.

38363972521248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50048 (or 50037 counting only the distinct ones).

The product of its digits is 104509440, while the sum is 63.

The spelling of 38363972521248 in words is "thirty-eight trillion, three hundred sixty-three billion, nine hundred seventy-two million, five hundred twenty-one thousand, two hundred forty-eight".