1137768892416 has 1008 divisors, whose sum is σ = 3857829606540. Its totient is φ = 333235814400.

The previous prime is 1137768892409. The next prime is 1137768892427. The reversal of 1137768892416 is 6142988677311.

1137768892416 is a `hidden beast` number, since 1 + 1 + 3 + 77 + 68 + 8 + 92 + 416 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 878793753600 + 258975138816 = 937440^2 + 508896^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 18651949026 + ... + 18651949086.

Almost surely, 2^{1137768892416} is an apocalyptic number.

1137768892416 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 1137768892416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1928914803270).

1137768892416 is an abundant number, since it is smaller than the sum of its proper divisors (2720060714124).

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

1137768892416 is an frugal number, since it uses more digits than its factorization.

1137768892416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 110 counting only the distinct ones).

The product of its digits is 24385536, while the sum is 63.

The spelling of 1137768892416 in words is "one trillion, one hundred thirty-seven billion, seven hundred sixty-eight million, eight hundred ninety-two thousand, four hundred sixteen".