38873648614752 has 1728 divisors, whose sum is σ = 144557457408000. Its totient is φ = 9839076065280.

The previous prime is 38873648614613. The next prime is 38873648614789. The reversal of 38873648614752 is 25741684637883.

38873648614752 is a `hidden beast` number, since 3 + 8 + 8 + 73 + 6 + 4 + 86 + 1 + 475 + 2 = 666.

It is a super-2 number, since 2×38873648614752² (a number of 28 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 37057815124 + ... + 37057816172.

It is an arithmetic number, because the mean of its divisors is an integer number (83655936000).

Almost surely, 2^{38873648614752} is an apocalyptic number.

38873648614752 is a gapful number since it is divisible by the number (32) 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 38873648614752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72278728704000).

38873648614752 is an abundant number, since it is smaller than the sum of its proper divisors (105683808793248).

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

38873648614752 is a wasteful number, since it uses less digits than its factorization.

38873648614752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1289 (or 1271 counting only the distinct ones).

The product of its digits is 1300561920, while the sum is 72.

The spelling of 38873648614752 in words is "thirty-eight trillion, eight hundred seventy-three billion, six hundred forty-eight million, six hundred fourteen thousand, seven hundred fifty-two".