78335053456 has 45 divisors (see below), whose sum is σ = 166852380009. Its totient is φ = 35601244800.

The previous prime is 78335053453. The next prime is 78335053471. The reversal of 78335053456 is 65435053387.

The square root of 78335053456 is 279884.

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

It can be written as a sum of positive squares in only one way, i.e., 19344359056 + 58990694400 = 139084^2 + 242880^2 .

It is a super-2 number, since 2×78335053456² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (78335053453) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 12311716 + ... + 12318076.

Almost surely, 2^78335053456 is an apocalyptic number.

78335053456 is the 279884-th square number.

It is an amenable number.

78335053456 is an abundant number, since it is smaller than the sum of its proper divisors (88517326553).

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

78335053456 is an frugal number, since it uses more digits than its factorization.

78335053456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12752 (or 6374 counting only the distinct ones).

The product of its (nonzero) digits is 4536000, while the sum is 49.

Multiplying 78335053456 by its sum of digits (49), we get a square (3838417619344 = 1959188²).

The spelling of 78335053456 in words is "seventy-eight billion, three hundred thirty-five million, fifty-three thousand, four hundred fifty-six".