10978904514249 has 81 divisors (see below), whose sum is σ = 18682312091079. Its totient is φ = 6194813032800.

The previous prime is 10978904514241. The next prime is 10978904514283. The reversal of 10978904514249 is 94241540987901.

The square root of 10978904514249 is 3313443.

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

10978904514249 is a `hidden beast` number, since 1 + 0 + 9 + 7 + 8 + 90 + 4 + 514 + 24 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 915671006649 + 10063233507600 = 956907^2 + 3172260^2 .

It is not a de Polignac number, because 10978904514249 - 2³ = 10978904514241 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (10978904514241) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 5775330199 + ... + 5775332099.

Almost surely, 2^{10978904514249} is an apocalyptic number.

10978904514249 is the 3313443-rd square number.

10978904514249 is the 1656722-nd centered octagonal number.

It is an amenable number.

10978904514249 is a deficient number, since it is larger than the sum of its proper divisors (7703407576830).

10978904514249 is an frugal number, since it uses more digits than its factorization.

10978904514249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3988 (or 1994 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 63.

The spelling of 10978904514249 in words is "ten trillion, nine hundred seventy-eight billion, nine hundred four million, five hundred fourteen thousand, two hundred forty-nine".