109851012864 has 360 divisors, whose sum is σ = 348271763840. Its totient is φ = 34340308992.

The previous prime is 109851012853. The next prime is 109851012899. The reversal of 109851012864 is 468210158901.

It is a happy number.

109851012864 is a `hidden beast` number, since 1 + 0 + 9 + 8 + 510 + 128 + 6 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 40578999 + ... + 40581705.

Almost surely, 2^109851012864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 109851012864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174135881920).

109851012864 is an abundant number, since it is smaller than the sum of its proper divisors (238420750976).

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

109851012864 is a wasteful number, since it uses less digits than its factorization.

109851012864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2857 (or 2834 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The spelling of 109851012864 in words is "one hundred nine billion, eight hundred fifty-one million, twelve thousand, eight hundred sixty-four".