1236988291968 has 1024 divisors, whose sum is σ = 4458759782400. Its totient is φ = 332489318400.

The previous prime is 1236988291921. The next prime is 1236988292011. The reversal of 1236988291968 is 8691928896321.

1236988291968 is a `hidden beast` number, since 12 + 369 + 8 + 82 + 91 + 96 + 8 = 666.

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

It is a nude number because it is divisible by every one of its digits.

Its product of digits (161243136) is a multiple of the sum of its prime factors (648).

It is a junction number, because it is equal to n+sod(n) for n = 1236988291896 and 1236988291905.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4029277671 + ... + 4029277977.

It is an arithmetic number, because the mean of its divisors is an integer number (4354257600).

Almost surely, 2^{1236988291968} is an apocalyptic number.

1236988291968 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 1236988291968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2229379891200).

1236988291968 is an abundant number, since it is smaller than the sum of its proper divisors (3221771490432).

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

1236988291968 is a wasteful number, since it uses less digits than its factorization.

1236988291968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 648 (or 630 counting only the distinct ones).

The product of its digits is 161243136, while the sum is 72.

The spelling of 1236988291968 in words is "one trillion, two hundred thirty-six billion, nine hundred eighty-eight million, two hundred ninety-one thousand, nine hundred sixty-eight".