1137233024928 has 1344 divisors, whose sum is σ = 4655458934784. Its totient is φ = 263699712000.

The previous prime is 1137233024833. The next prime is 1137233024929. The reversal of 1137233024928 is 8294203327311.

1137233024928 is a `hidden beast` number, since 1 + 1 + 3 + 72 + 330 + 249 + 2 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (1137233024929) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 723890383 + ... + 723891953.

It is an arithmetic number, because the mean of its divisors is an integer number (3463883136).

Almost surely, 2^{1137233024928} is an apocalyptic number.

1137233024928 is a gapful number since it is divisible by the number (18) 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 1137233024928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2327729467392).

1137233024928 is an abundant number, since it is smaller than the sum of its proper divisors (3518225909856).

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

1137233024928 is a wasteful number, since it uses less digits than its factorization.

1137233024928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1661 (or 1638 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 1137233024928 in words is "one trillion, one hundred thirty-seven billion, two hundred thirty-three million, twenty-four thousand, nine hundred twenty-eight".