1137944457216 has 416 divisors, whose sum is σ = 4079574074880. Its totient is φ = 305998331904.

The previous prime is 1137944457211. The next prime is 1137944457271. The reversal of 1137944457216 is 6127544497311.

1137944457216 is a `hidden beast` number, since 1 + 1 + 37 + 94 + 445 + 72 + 16 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1137944457211) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13117215 + ... + 13203681.

Almost surely, 2^{1137944457216} is an apocalyptic number.

1137944457216 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 1137944457216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2039787037440).

1137944457216 is an abundant number, since it is smaller than the sum of its proper divisors (2941629617664).

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

1137944457216 is an equidigital number, since it uses as much as digits as its factorization.

1137944457216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86524 (or 86496 counting only the distinct ones).

The product of its digits is 5080320, while the sum is 54.

The spelling of 1137944457216 in words is "one trillion, one hundred thirty-seven billion, nine hundred forty-four million, four hundred fifty-seven thousand, two hundred sixteen".