77774226138864 has 200 divisors, whose sum is σ = 230358858732288. Its totient is φ = 25321465572480.

The previous prime is 77774226138863. The next prime is 77774226138893. The reversal of 77774226138864 is 46883162247777.

It is a happy number.

77774226138864 is a `hidden beast` number, since 7 + 7 + 7 + 7 + 422 + 6 + 138 + 8 + 64 = 666.

It is a super-2 number, since 2×77774226138864² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 77774226138792 and 77774226138801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77774226138863) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 28607559 + ... + 31208025.

Almost surely, 2^{77774226138864} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77774226138864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115179429366144).

77774226138864 is an abundant number, since it is smaller than the sum of its proper divisors (152584632593424).

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

77774226138864 is a wasteful number, since it uses less digits than its factorization.

77774226138864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2601025 (or 2601010 counting only the distinct ones).

The product of its digits is 1062125568, while the sum is 72.

The spelling of 77774226138864 in words is "seventy-seven trillion, seven hundred seventy-four billion, two hundred twenty-six million, one hundred thirty-eight thousand, eight hundred sixty-four".