109291096762848 has 1536 divisors, whose sum is σ = 447027842580480. Its totient is φ = 25040451870720.

The previous prime is 109291096762751. The next prime is 109291096762849. The reversal of 109291096762848 is 848267690192901.

109291096762848 is a `hidden beast` number, since 109 + 2 + 91 + 0 + 96 + 76 + 284 + 8 = 666.

It is a super-2 number, since 2×109291096762848² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109291096762849) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 28783536886 + ... + 28783540682.

It is an arithmetic number, because the mean of its divisors is an integer number (291033751680).

Almost surely, 2^{109291096762848} is an apocalyptic number.

109291096762848 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 109291096762848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223513921290240).

109291096762848 is an abundant number, since it is smaller than the sum of its proper divisors (337736745817632).

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

109291096762848 is a wasteful number, since it uses less digits than its factorization.

109291096762848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5317 (or 5303 counting only the distinct ones).

The product of its (nonzero) digits is 188116992, while the sum is 72.

The spelling of 109291096762848 in words is "one hundred nine trillion, two hundred ninety-one billion, ninety-six million, seven hundred sixty-two thousand, eight hundred forty-eight".