102465486144 has 168 divisors, whose sum is σ = 335801988288. Its totient is φ = 29263104000.

The previous prime is 102465486143. The next prime is 102465486203. The reversal of 102465486144 is 441684564201.

102465486144 is a `hidden beast` number, since 1 + 0 + 2 + 4 + 6 + 548 + 61 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a self number, because there is not a number n which added to its sum of digits gives 102465486144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102465486143) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13104124 + ... + 13111940.

Almost surely, 2^102465486144 is an apocalyptic number.

102465486144 is a gapful number since it is divisible by the number (14) 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 102465486144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167900994144).

102465486144 is an abundant number, since it is smaller than the sum of its proper divisors (233336502144).

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

102465486144 is a wasteful number, since it uses less digits than its factorization.

102465486144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11093 (or 11080 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 102465486144 in words is "one hundred two billion, four hundred sixty-five million, four hundred eighty-six thousand, one hundred forty-four".