102449782575504 has 2025 divisors, whose sum is σ = 390291081535719. Its totient is φ = 25011244177920.

The previous prime is 102449782575499. The next prime is 102449782575523. The reversal of 102449782575504 is 405575287944201.

The square root of 102449782575504 is 10121748.

It is a perfect power (a square), and thus also a powerful number.

102449782575504 is a `hidden beast` number, since 1 + 0 + 2 + 4 + 4 + 9 + 7 + 8 + 2 + 575 + 50 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 50796238613904 + 51653543961600 = 7127148^2 + 7187040^2 .

It is a super-2 number, since 2×102449782575504² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 404 ways as a sum of consecutive naturals, for example, 3304831695969 + ... + 3304831695999.

Almost surely, 2^{102449782575504} is an apocalyptic number.

102449782575504 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

102449782575504 is the 10121748-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102449782575504

102449782575504 is an abundant number, since it is smaller than the sum of its proper divisors (287841298960215).

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

102449782575504 is an equidigital number, since it uses as much as digits as its factorization.

102449782575504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 112896000, while the sum is 63.

The spelling of 102449782575504 in words is "one hundred two trillion, four hundred forty-nine billion, seven hundred eighty-two million, five hundred seventy-five thousand, five hundred four".