77348569914 has 192 divisors, whose sum is σ = 216470292480. Its totient is φ = 19368720000.

The previous prime is 77348569913. The next prime is 77348569933. The reversal of 77348569914 is 41996584377.

77348569914 is a `hidden beast` number, since 7 + 7 + 3 + 485 + 69 + 91 + 4 = 666.

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 (77348569913) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 42242979 + ... + 42244809.

It is an arithmetic number, because the mean of its divisors is an integer number (1127449440).

Almost surely, 2^77348569914 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77348569914, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108235146240).

77348569914 is an abundant number, since it is smaller than the sum of its proper divisors (139121722566).

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

77348569914 is a wasteful number, since it uses less digits than its factorization.

77348569914 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2937 (or 2934 counting only the distinct ones).

The product of its digits is 45722880, while the sum is 63.

The spelling of 77348569914 in words is "seventy-seven billion, three hundred forty-eight million, five hundred sixty-nine thousand, nine hundred fourteen".