102439896484464 has 720 divisors, whose sum is σ = 387442018061280. Its totient is φ = 24897792245760.

The previous prime is 102439896484463. The next prime is 102439896484483. The reversal of 102439896484464 is 464484698934201.

102439896484464 is a `hidden beast` number, since 1 + 0 + 2 + 4 + 3 + 9 + 89 + 6 + 4 + 84 + 464 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 102439896484392 and 102439896484401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102439896484463) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 228044272 + ... + 228493040.

It is an arithmetic number, because the mean of its divisors is an integer number (538113913974).

Almost surely, 2^{102439896484464} is an apocalyptic number.

102439896484464 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 102439896484464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193721009030640).

102439896484464 is an abundant number, since it is smaller than the sum of its proper divisors (285002121576816).

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

102439896484464 is a wasteful number, since it uses less digits than its factorization.

102439896484464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448998 (or 448982 counting only the distinct ones).

The product of its (nonzero) digits is 1146617856, while the sum is 72.

The spelling of 102439896484464 in words is "one hundred two trillion, four hundred thirty-nine billion, eight hundred ninety-six million, four hundred eighty-four thousand, four hundred sixty-four".