1263457055448 has 384 divisors, whose sum is σ = 4092171632640. Its totient is φ = 344584800000.

The previous prime is 1263457055429. The next prime is 1263457055449. The reversal of 1263457055448 is 8445507543621.

1263457055448 is a `hidden beast` number, since 1 + 2 + 6 + 3 + 45 + 7 + 0 + 554 + 48 = 666.

It is a super-2 number, since 2×1263457055448² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1263457055394 and 1263457055403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1263457055449) 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, 419612263 + ... + 419615273.

It is an arithmetic number, because the mean of its divisors is an integer number (10656696960).

Almost surely, 2^{1263457055448} is an apocalyptic number.

1263457055448 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 1263457055448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2046085816320).

1263457055448 is an abundant number, since it is smaller than the sum of its proper divisors (2828714577192).

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

1263457055448 is a wasteful number, since it uses less digits than its factorization.

1263457055448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3419 (or 3412 counting only the distinct ones).

The product of its (nonzero) digits is 16128000, while the sum is 54.

The spelling of 1263457055448 in words is "one trillion, two hundred sixty-three billion, four hundred fifty-seven million, fifty-five thousand, four hundred forty-eight".