38755148544 has 432 divisors, whose sum is σ = 134696656640. Its totient is φ = 10883911680.

The previous prime is 38755148543. The next prime is 38755148587. The reversal of 38755148544 is 44584155783.

It is a happy number.

38755148544 is a `hidden beast` number, since 3 + 8 + 7 + 5 + 51 + 48 + 544 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (38755148543) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26562087 + ... + 26563545.

Almost surely, 2^38755148544 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 38755148544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67348328320).

38755148544 is an abundant number, since it is smaller than the sum of its proper divisors (95941508096).

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

38755148544 is an equidigital number, since it uses as much as digits as its factorization.

38755148544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1558 (or 1532 counting only the distinct ones).

The product of its digits is 10752000, while the sum is 54.

The spelling of 38755148544 in words is "thirty-eight billion, seven hundred fifty-five million, one hundred forty-eight thousand, five hundred forty-four".