1137644914224 has 320 divisors, whose sum is σ = 3837114408960. Its totient is φ = 281856983040.

The previous prime is 1137644914163. The next prime is 1137644914267. The reversal of 1137644914224 is 4224194467311.

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

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 63 ways as a sum of consecutive naturals, for example, 40158337 + ... + 40186655.

It is an arithmetic number, because the mean of its divisors is an integer number (11990982528).

Almost surely, 2^{1137644914224} is an apocalyptic number.

1137644914224 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 1137644914224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1918557204480).

1137644914224 is an abundant number, since it is smaller than the sum of its proper divisors (2699469494736).

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

1137644914224 is a wasteful number, since it uses less digits than its factorization.

1137644914224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28908 (or 28902 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 48.

The spelling of 1137644914224 in words is "one trillion, one hundred thirty-seven billion, six hundred forty-four million, nine hundred fourteen thousand, two hundred twenty-four".