1107961646976 has 192 divisors, whose sum is σ = 3401598142800. Its totient is φ = 344941608960.

The previous prime is 1107961646969. The next prime is 1107961646989. The reversal of 1107961646976 is 6796461697011.

1107961646976 is a `hidden beast` number, since 1 + 1 + 0 + 7 + 9 + 616 + 4 + 6 + 9 + 7 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×1107961646976² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2349570 + ... + 2781438.

Almost surely, 2^{1107961646976} is an apocalyptic number.

1107961646976 is a gapful number since it is divisible by the number (16) 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 1107961646976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1700799071400).

1107961646976 is an abundant number, since it is smaller than the sum of its proper divisors (2293636495824).

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

1107961646976 is a wasteful number, since it uses less digits than its factorization.

1107961646976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432037 (or 432022 counting only the distinct ones).

The product of its (nonzero) digits is 20575296, while the sum is 63.

The spelling of 1107961646976 in words is "one trillion, one hundred seven billion, nine hundred sixty-one million, six hundred forty-six thousand, nine hundred seventy-six".