78242512252446 has 96 divisors (see below), whose sum is σ = 179967509467200. Its totient is φ = 24514522560000.

The previous prime is 78242512252409. The next prime is 78242512252517. The reversal of 78242512252446 is 64425221524287.

78242512252446 is a `hidden beast` number, since 7 + 8 + 2 + 4 + 2 + 51 + 22 + 524 + 46 = 666.

It is a super-2 number, since 2×78242512252446² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 78242512252392 and 78242512252401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25014696 + ... + 27968196.

It is an arithmetic number, because the mean of its divisors is an integer number (1874661556950).

Almost surely, 2^{78242512252446} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78242512252446, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89983754733600).

78242512252446 is an abundant number, since it is smaller than the sum of its proper divisors (101724997214754).

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

78242512252446 is a wasteful number, since it uses less digits than its factorization.

78242512252446 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2954642 (or 2954639 counting only the distinct ones).

The product of its digits is 17203200, while the sum is 54.

The spelling of 78242512252446 in words is "seventy-eight trillion, two hundred forty-two billion, five hundred twelve million, two hundred fifty-two thousand, four hundred forty-six".