617978770849 has 12 divisors (see below), whose sum is σ = 681909014052. Its totient is φ = 559612866560.

The previous prime is 617978770847. The next prime is 617978770897. The reversal of 617978770849 is 948077879716.

It can be written as a sum of positive squares in 2 ways, for example, as 300325920400 + 317652850449 = 548020^2 + 563607^2 .

It is not a de Polignac number, because 617978770849 - 2¹ = 617978770847 is a prime.

It is a super-3 number, since 3×617978770849³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (617978770847) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9905212 + ... + 9967405.

It is an arithmetic number, because the mean of its divisors is an integer number (56825751171).

Almost surely, 2^617978770849 is an apocalyptic number.

It is an amenable number.

617978770849 is a deficient number, since it is larger than the sum of its proper divisors (63930243203).

617978770849 is a wasteful number, since it uses less digits than its factorization.

617978770849 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19872896 (or 19872885 counting only the distinct ones).

The product of its (nonzero) digits is 298722816, while the sum is 73.

The spelling of 617978770849 in words is "six hundred seventeen billion, nine hundred seventy-eight million, seven hundred seventy thousand, eight hundred forty-nine".