1167125872896 has 243 divisors, whose sum is σ = 3423976186813. Its totient is φ = 382352517120.

The previous prime is 1167125872877. The next prime is 1167125872901. The reversal of 1167125872896 is 6982785217611.

The square root of 1167125872896 is 1080336.

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

1167125872896 is a `hidden beast` number, since 1 + 16 + 7 + 12 + 587 + 28 + 9 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 65331360000 + 1101794512896 = 255600^2 + 1049664^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3681784930 + ... + 3681785246.

Almost surely, 2^{1167125872896} is an apocalyptic number.

1167125872896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1167125872896 is the 1080336-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1167125872896

1167125872896 is an abundant number, since it is smaller than the sum of its proper divisors (2256850313917).

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

1167125872896 is an frugal number, since it uses more digits than its factorization.

1167125872896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 798 (or 393 counting only the distinct ones).

The product of its digits is 20321280, while the sum is 63.

The spelling of 1167125872896 in words is "one trillion, one hundred sixty-seven billion, one hundred twenty-five million, eight hundred seventy-two thousand, eight hundred ninety-six".