1268783635392 has 448 divisors, whose sum is σ = 4646113704960. Its totient is φ = 330589237248.

The previous prime is 1268783635373. The next prime is 1268783635409. The reversal of 1268783635392 is 2935363878621.

It is a happy number.

1268783635392 is a `hidden beast` number, since 1 + 2 + 68 + 7 + 8 + 36 + 3 + 539 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13002978 + ... + 13100190.

It is an arithmetic number, because the mean of its divisors is an integer number (10370789520).

Almost surely, 2^{1268783635392} is an apocalyptic number.

1268783635392 is a gapful number since it is divisible by the number (12) 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 1268783635392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2323056852480).

1268783635392 is an abundant number, since it is smaller than the sum of its proper divisors (3377330069568).

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

1268783635392 is a wasteful number, since it uses less digits than its factorization.

1268783635392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97337 (or 97321 counting only the distinct ones).

The product of its digits is 78382080, while the sum is 63.

The spelling of 1268783635392 in words is "one trillion, two hundred sixty-eight billion, seven hundred eighty-three million, six hundred thirty-five thousand, three hundred ninety-two".