10138229692416 has 360 divisors, whose sum is σ = 35226180449460. Its totient is φ = 2896634732544.

The previous prime is 10138229692369. The next prime is 10138229692439. The reversal of 10138229692416 is 61429692283101.

It is a happy number.

10138229692416 is a `hidden beast` number, since 1 + 0 + 1 + 38 + 22 + 96 + 92 + 416 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 7504891 + ... + 8752133.

Almost surely, 2^{10138229692416} is an apocalyptic number.

10138229692416 is a gapful number since it is divisible by the number (16) 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 10138229692416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17613090224730).

10138229692416 is an abundant number, since it is smaller than the sum of its proper divisors (25087950757044).

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

10138229692416 is an equidigital number, since it uses as much as digits as its factorization.

10138229692416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1247291 (or 1247255 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 10138229692416 in words is "ten trillion, one hundred thirty-eight billion, two hundred twenty-nine million, six hundred ninety-two thousand, four hundred sixteen".