102494414204352 has 448 divisors, whose sum is σ = 310830385582080. Its totient is φ = 33106077388800.

The previous prime is 102494414204339. The next prime is 102494414204401. The reversal of 102494414204352 is 253402414494201.

102494414204352 is a `hidden beast` number, since 1 + 0 + 2 + 4 + 94 + 4 + 1 + 4 + 204 + 352 = 666.

102494414204352 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 102494414204298 and 102494414204307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2041411633 + ... + 2041461839.

It is an arithmetic number, because the mean of its divisors is an integer number (693817824960).

Almost surely, 2^{102494414204352} is an apocalyptic number.

102494414204352 is a gapful number since it is divisible by the number (12) 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 102494414204352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155415192791040).

102494414204352 is an abundant number, since it is smaller than the sum of its proper divisors (208335971377728).

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

102494414204352 is a wasteful number, since it uses less digits than its factorization.

102494414204352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50577 (or 50561 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

Adding to 102494414204352 its reverse (253402414494201), we get a palindrome (355896828698553).

The spelling of 102494414204352 in words is "one hundred two trillion, four hundred ninety-four billion, four hundred fourteen million, two hundred four thousand, three hundred fifty-two".