1277338503168 has 1152 divisors, whose sum is σ = 4829479200000. Its totient is φ = 315829518336.

The previous prime is 1277338503163. The next prime is 1277338503197. The reversal of 1277338503168 is 8613058337721.

It is a happy number.

1277338503168 is a `hidden beast` number, since 1 + 2 + 7 + 73 + 3 + 8 + 503 + 1 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is not an unprimeable number, because it can be changed into a prime (1277338503163) 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, 4748470138 + ... + 4748470406.

It is an arithmetic number, because the mean of its divisors is an integer number (4192256250).

Almost surely, 2^{1277338503168} is an apocalyptic number.

1277338503168 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1277338503168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2414739600000).

1277338503168 is an abundant number, since it is smaller than the sum of its proper divisors (3552140696832).

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

1277338503168 is a wasteful number, since it uses less digits than its factorization.

1277338503168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 1277338503168 in words is "one trillion, two hundred seventy-seven billion, three hundred thirty-eight million, five hundred three thousand, one hundred sixty-eight".