10638149808 has 240 divisors, whose sum is σ = 33591421440. Its totient is φ = 2872396800.

The previous prime is 10638149791. The next prime is 10638149833. The reversal of 10638149808 is 80894183601.

It is a super-2 number, since 2×10638149808² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 2585673 + ... + 2589783.

It is an arithmetic number, because the mean of its divisors is an integer number (139964256).

Almost surely, 2^10638149808 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 10638149808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16795710720).

10638149808 is an abundant number, since it is smaller than the sum of its proper divisors (22953271632).

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

10638149808 is a wasteful number, since it uses less digits than its factorization.

10638149808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4188 (or 4169 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 48.

The spelling of 10638149808 in words is "ten billion, six hundred thirty-eight million, one hundred forty-nine thousand, eight hundred eight".