638148131250 has 576 divisors, whose sum is σ = 1974923596800. Its totient is φ = 136669680000.

The previous prime is 638148131249. The next prime is 638148131251. The reversal of 638148131250 is 52131841836.

It is a happy number.

638148131250 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (638148131249) and next prime (638148131251).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (638148131251) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2426418619 + ... + 2426418881.

It is an arithmetic number, because the mean of its divisors is an integer number (3428686800).

Almost surely, 2^638148131250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 638148131250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (987461798400).

638148131250 is an abundant number, since it is smaller than the sum of its proper divisors (1336775465550).

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

638148131250 is a wasteful number, since it uses less digits than its factorization.

638148131250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The spelling of 638148131250 in words is "six hundred thirty-eight billion, one hundred forty-eight million, one hundred thirty-one thousand, two hundred fifty".