104865141888 has 512 divisors, whose sum is σ = 345119040000. Its totient is φ = 31137841152.

The previous prime is 104865141883. The next prime is 104865141893. The reversal of 104865141888 is 888141568401.

104865141888 is a `hidden beast` number, since 1 + 0 + 48 + 6 + 514 + 1 + 8 + 88 = 666.

It is an interprime number because it is at equal distance from previous prime (104865141883) and next prime (104865141893).

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

It is not an unprimeable number, because it can be changed into a prime (104865141883) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 330804706 + ... + 330805022.

It is an arithmetic number, because the mean of its divisors is an integer number (674060625).

Almost surely, 2^104865141888 is an apocalyptic number.

104865141888 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 104865141888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172559520000).

104865141888 is an abundant number, since it is smaller than the sum of its proper divisors (240253898112).

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

104865141888 is a wasteful number, since it uses less digits than its factorization.

104865141888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 589 (or 571 counting only the distinct ones).

The product of its (nonzero) digits is 1966080, while the sum is 54.

It can be divided in two parts, 104865 and 141888, that added together give a triangular number (246753 = T₇₀₂).

The spelling of 104865141888 in words is "one hundred four billion, eight hundred sixty-five million, one hundred forty-one thousand, eight hundred eighty-eight".