1270654263648 has 384 divisors, whose sum is σ = 4863753216000. Its totient is φ = 312669227520.

The previous prime is 1270654263631. The next prime is 1270654263649. The reversal of 1270654263648 is 8463624560721.

1270654263648 is a `hidden beast` number, since 1 + 27 + 0 + 6 + 542 + 6 + 36 + 48 = 666.

It is a super-2 number, since 2×1270654263648² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 1270654263594 and 1270654263603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1270654263649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 761413 + ... + 1766651.

It is an arithmetic number, because the mean of its divisors is an integer number (12666024000).

Almost surely, 2^{1270654263648} is an apocalyptic number.

1270654263648 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 1270654263648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2431876608000).

1270654263648 is an abundant number, since it is smaller than the sum of its proper divisors (3593098952352).

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

1270654263648 is a wasteful number, since it uses less digits than its factorization.

1270654263648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1005295 (or 1005281 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 1270654263648 in words is "one trillion, two hundred seventy billion, six hundred fifty-four million, two hundred sixty-three thousand, six hundred forty-eight".