1172091912768 has 280 divisors, whose sum is σ = 4204375794432. Its totient is φ = 315184214016.

The previous prime is 1172091912749. The next prime is 1172091912769. The reversal of 1172091912768 is 8672191902711.

It is a super-2 number, since 2×1172091912768² (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 not an unprimeable number, because it can be changed into a prime (1172091912769) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 333096 + ... + 1566887.

Almost surely, 2^{1172091912768} is an apocalyptic number.

1172091912768 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 1172091912768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2102187897216).

1172091912768 is an abundant number, since it is smaller than the sum of its proper divisors (3032283881664).

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

1172091912768 is a wasteful number, since it uses less digits than its factorization.

1172091912768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1900031 (or 1900012 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 54.

The spelling of 1172091912768 in words is "one trillion, one hundred seventy-two billion, ninety-one million, nine hundred twelve thousand, seven hundred sixty-eight".