1137228857856 has 1280 divisors, whose sum is σ = 4497282155520. Its totient is φ = 275188285440.

The previous prime is 1137228857851. The next prime is 1137228857857. The reversal of 1137228857856 is 6587588227311.

1137228857856 is a `hidden beast` number, since 1 + 1 + 3 + 7 + 2 + 2 + 8 + 8 + 578 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 1137228857793 and 1137228857802.

It is not an unprimeable number, because it can be changed into a prime (1137228857851) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 876814200 + ... + 876815496.

It is an arithmetic number, because the mean of its divisors is an integer number (3513501684).

Almost surely, 2^{1137228857856} is an apocalyptic number.

1137228857856 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 1137228857856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2248641077760).

1137228857856 is an abundant number, since it is smaller than the sum of its proper divisors (3360053297664).

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

1137228857856 is a wasteful number, since it uses less digits than its factorization.

1137228857856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1402 (or 1380 counting only the distinct ones).

The product of its digits is 45158400, while the sum is 63.

The spelling of 1137228857856 in words is "one trillion, one hundred thirty-seven billion, two hundred twenty-eight million, eight hundred fifty-seven thousand, eight hundred fifty-six".