1199460849601 has 63 divisors (see below), whose sum is σ = 1460141201313. Its totient is φ = 985284828360.

The previous prime is 1199460849577. The next prime is 1199460849617. The reversal of 1199460849601 is 1069480649911.

The square root of 1199460849601 is 1095199.

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

It is not a de Polignac number, because 1199460849601 - 2¹⁵ = 1199460816833 is a prime.

It is a super-3 number, since 3×1199460849601³ (a number of 37 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (58) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1199460849661) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 11645250916 + ... + 11645251018.

Almost surely, 2^{1199460849601} is an apocalyptic number.

1199460849601 is the 1095199-th square number.

1199460849601 is the 547600-th centered octagonal number.

It is an amenable number.

1199460849601 is a deficient number, since it is larger than the sum of its proper divisors (260680351712).

1199460849601 is an frugal number, since it uses more digits than its factorization.

1199460849601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 58.

The spelling of 1199460849601 in words is "one trillion, one hundred ninety-nine billion, four hundred sixty million, eight hundred forty-nine thousand, six hundred one".