10938151224 has 864 divisors, whose sum is σ = 42882381360. Its totient is φ = 2586608640.

The previous prime is 10938151219. The next prime is 10938151243. The reversal of 10938151224 is 42215183901.

10938151224 is a `hidden beast` number, since 1 + 0 + 9 + 381 + 51 + 224 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 149837652 + ... + 149837724.

Almost surely, 2^10938151224 is an apocalyptic number.

10938151224 is a gapful number since it is divisible by the number (14) 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 10938151224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21441190680).

10938151224 is an abundant number, since it is smaller than the sum of its proper divisors (31944230136).

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

10938151224 is a wasteful number, since it uses less digits than its factorization.

10938151224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 10938151224 in words is "ten billion, nine hundred thirty-eight million, one hundred fifty-one thousand, two hundred twenty-four".