101618662666752 has 480 divisors, whose sum is σ = 367560344346624. Its totient is φ = 26256249446400.

The previous prime is 101618662666681. The next prime is 101618662666753. The reversal of 101618662666752 is 257666266816101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 101618662666752.

It is not an unprimeable number, because it can be changed into a prime (101618662666753) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 67020123 + ... + 68519589.

Almost surely, 2^{101618662666752} is an apocalyptic number.

101618662666752 is a gapful number since it is divisible by the number (12) 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 101618662666752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183780172173312).

101618662666752 is an abundant number, since it is smaller than the sum of its proper divisors (265941681679872).

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

101618662666752 is a wasteful number, since it uses less digits than its factorization.

101618662666752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1499700 (or 1499681 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 101618662666752 in words is "one hundred one trillion, six hundred eighteen billion, six hundred sixty-two million, six hundred sixty-six thousand, seven hundred fifty-two".