1127538164736 has 231 divisors, whose sum is σ = 3382168856941. Its totient is φ = 375540240384.

The previous prime is 1127538164729. The next prime is 1127538164843. The reversal of 1127538164736 is 6374618357211.

The square root of 1127538164736 is 1061856.

It is a perfect power (a square), and thus also a powerful number.

1127538164736 is a `hidden beast` number, since 1 + 1 + 27 + 538 + 16 + 4 + 73 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1112906843136 + 14631321600 = 1054944^2 + 120960^2 .

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 917442970 + ... + 917444198.

Almost surely, 2^{1127538164736} is an apocalyptic number.

1127538164736 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1127538164736 is the 1061856-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1127538164736

1127538164736 is an abundant number, since it is smaller than the sum of its proper divisors (2254630692205).

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

1127538164736 is an frugal number, since it uses more digits than its factorization.

1127538164736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2496 (or 1234 counting only the distinct ones).

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

The spelling of 1127538164736 in words is "one trillion, one hundred twenty-seven billion, five hundred thirty-eight million, one hundred sixty-four thousand, seven hundred thirty-six".