102214239288480 has 768 divisors, whose sum is σ = 394489692979200. Its totient is φ = 24512896512000.

The previous prime is 102214239288463. The next prime is 102214239288503. The reversal of 102214239288480 is 84882932412201.

102214239288480 is a `hidden beast` number, since 10 + 2 + 2 + 1 + 42 + 39 + 2 + 88 + 480 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1642782811 + ... + 1642845029.

It is an arithmetic number, because the mean of its divisors is an integer number (513658454400).

Almost surely, 2^{102214239288480} is an apocalyptic number.

102214239288480 is a gapful number since it is divisible by the number (10) 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 102214239288480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197244846489600).

102214239288480 is an abundant number, since it is smaller than the sum of its proper divisors (292275453690720).

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

102214239288480 is a wasteful number, since it uses less digits than its factorization.

102214239288480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62626 (or 62612 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 54.

The spelling of 102214239288480 in words is "one hundred two trillion, two hundred fourteen billion, two hundred thirty-nine million, two hundred eighty-eight thousand, four hundred eighty".