109223207158464 has 896 divisors, whose sum is σ = 377423354880000. Its totient is φ = 30330684887040.

The previous prime is 109223207158367. The next prime is 109223207158489. The reversal of 109223207158464 is 464851702322901.

It is a happy number.

109223207158464 is a `hidden beast` number, since 1 + 0 + 9 + 2 + 2 + 3 + 20 + 7 + 158 + 464 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 109223207158464.

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, 44417732467 + ... + 44417734925.

It is a 1-persistent number, because it is pandigital, but 2⋅109223207158464 = 218446414316928 is not.

Almost surely, 2^{109223207158464} is an apocalyptic number.

109223207158464 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 109223207158464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188711677440000).

109223207158464 is an abundant number, since it is smaller than the sum of its proper divisors (268200147721536).

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

109223207158464 is a wasteful number, since it uses less digits than its factorization.

109223207158464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3226 (or 3210 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 109223207158464 in words is "one hundred nine trillion, two hundred twenty-three billion, two hundred seven million, one hundred fifty-eight thousand, four hundred sixty-four".