102867646464 has 1152 divisors, whose sum is σ = 377772595200. Its totient is φ = 27590492160.

The previous prime is 102867646451. The next prime is 102867646471. The reversal of 102867646464 is 464646768201.

It is a happy number.

102867646464 is a `hidden beast` number, since 102 + 8 + 6 + 76 + 4 + 6 + 464 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a self number, because there is not a number n which added to its sum of digits gives 102867646464.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2392270827 + ... + 2392270869.

It is an arithmetic number, because the mean of its divisors is an integer number (327927600).

Almost surely, 2^102867646464 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 102867646464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188886297600).

102867646464 is an abundant number, since it is smaller than the sum of its proper divisors (274904948736).

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

102867646464 is a wasteful number, since it uses less digits than its factorization.

102867646464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

The spelling of 102867646464 in words is "one hundred two billion, eight hundred sixty-seven million, six hundred forty-six thousand, four hundred sixty-four".