101469852568368 has 180 divisors, whose sum is σ = 294310289777400. Its totient is φ = 32634119003136.

The previous prime is 101469852568363. The next prime is 101469852568373. The reversal of 101469852568368 is 863865258964101.

101469852568368 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 6 + 9 + 8 + 5 + 256 + 8 + 368 = 666.

It is an interprime number because it is at equal distance from previous prime (101469852568363) and next prime (101469852568373).

It is a super-2 number, since 2×101469852568368² (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 junction number, because it is equal to n+sod(n) for n = 101469852568296 and 101469852568305.

It is not an unprimeable number, because it can be changed into a prime (101469852568363) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 173249683 + ... + 173834381.

It is an arithmetic number, because the mean of its divisors is an integer number (1635057165430).

Almost surely, 2^{101469852568368} is an apocalyptic number.

101469852568368 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 101469852568368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147155144888700).

101469852568368 is an abundant number, since it is smaller than the sum of its proper divisors (192840437209032).

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

101469852568368 is a wasteful number, since it uses less digits than its factorization.

101469852568368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 586204 (or 586166 counting only the distinct ones).

The product of its (nonzero) digits is 597196800, while the sum is 72.

The spelling of 101469852568368 in words is "one hundred one trillion, four hundred sixty-nine billion, eight hundred fifty-two million, five hundred sixty-eight thousand, three hundred sixty-eight".