78253348644 has 45 divisors (see below), whose sum is σ = 204582874881. Its totient is φ = 26082771120.

The previous prime is 78253348633. The next prime is 78253348651. The reversal of 78253348644 is 44684335287.

The square root of 78253348644 is 279738.

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

78253348644 is a `hidden beast` number, since 7 + 8 + 2 + 533 + 48 + 64 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 61176086244 + 17077262400 = 247338^2 + 130680^2 .

It is a super-2 number, since 2×78253348644² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 5027514 + ... + 5043054.

Almost surely, 2^78253348644 is an apocalyptic number.

78253348644 is the 279738-th square number.

It is an amenable number.

78253348644 is an abundant number, since it is smaller than the sum of its proper divisors (126329526237).

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

78253348644 is an frugal number, since it uses more digits than its factorization.

78253348644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31098 (or 15546 counting only the distinct ones).

The product of its digits is 15482880, while the sum is 54.

The spelling of 78253348644 in words is "seventy-eight billion, two hundred fifty-three million, three hundred forty-eight thousand, six hundred forty-four".