78233560023456 has 192 divisors, whose sum is σ = 231262990358400. Its totient is φ = 25727704455168.

The previous prime is 78233560023449. The next prime is 78233560023457. The reversal of 78233560023456 is 65432006533287.

78233560023456 is a `hidden beast` number, since 7 + 8 + 2 + 3 + 3 + 5 + 600 + 23 + 4 + 5 + 6 = 666.

It is a super-2 number, since 2×78233560023456² (a number of 29 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (78233560023457) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20160355 + ... + 23725661.

It is an arithmetic number, because the mean of its divisors is an integer number (1204494741450).

Almost surely, 2^{78233560023456} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78233560023456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115631495179200).

78233560023456 is an abundant number, since it is smaller than the sum of its proper divisors (153029430334944).

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

78233560023456 is a wasteful number, since it uses less digits than its factorization.

78233560023456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3565668 (or 3565654 counting only the distinct ones).

The product of its (nonzero) digits is 21772800, while the sum is 54.

The spelling of 78233560023456 in words is "seventy-eight trillion, two hundred thirty-three billion, five hundred sixty million, twenty-three thousand, four hundred fifty-six".