109985472861264 has 1440 divisors, whose sum is σ = 428985341680896. Its totient is φ = 25399556259840.

The previous prime is 109985472861247. The next prime is 109985472861283. The reversal of 109985472861264 is 462168274589901.

It is a happy number.

109985472861264 is a `hidden beast` number, since 1 + 0 + 9 + 9 + 8 + 5 + 472 + 86 + 12 + 64 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 109985472861192 and 109985472861201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 19456121862 + ... + 19456127514.

Almost surely, 2^{109985472861264} is an apocalyptic number.

109985472861264 is a gapful number since it is divisible by the number (14) 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 109985472861264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214492670840448).

109985472861264 is an abundant number, since it is smaller than the sum of its proper divisors (318999868819632).

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

109985472861264 is a wasteful number, since it uses less digits than its factorization.

109985472861264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5857 (or 5805 counting only the distinct ones).

The product of its (nonzero) digits is 418037760, while the sum is 72.

The spelling of 109985472861264 in words is "one hundred nine trillion, nine hundred eighty-five billion, four hundred seventy-two million, eight hundred sixty-one thousand, two hundred sixty-four".