102361857646464 has 1024 divisors, whose sum is σ = 336650182041600. Its totient is φ = 30419214336000.

The previous prime is 102361857646463. The next prime is 102361857646571. The reversal of 102361857646464 is 464646758163201.

102361857646464 is a `hidden beast` number, since 1 + 0 + 2 + 3 + 6 + 18 + 576 + 4 + 6 + 46 + 4 = 666.

102361857646464 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102361857646463) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 86673883954 + ... + 86673885134.

It is an arithmetic number, because the mean of its divisors is an integer number (328759943400).

Almost surely, 2^{102361857646464} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102361857646464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168325091020800).

102361857646464 is an abundant number, since it is smaller than the sum of its proper divisors (234288324395136).

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

102361857646464 is a wasteful number, since it uses less digits than its factorization.

102361857646464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1692 (or 1674 counting only the distinct ones).

The product of its (nonzero) digits is 139345920, while the sum is 63.

The spelling of 102361857646464 in words is "one hundred two trillion, three hundred sixty-one billion, eight hundred fifty-seven million, six hundred forty-six thousand, four hundred sixty-four".