78518764944 has 135 divisors (see below), whose sum is σ = 232106500353. Its totient is φ = 24775224192.

The previous prime is 78518764937. The next prime is 78518764949. The reversal of 78518764944 is 44946781587.

The square root of 78518764944 is 280212.

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

78518764944 is a `hidden beast` number, since 7 + 8 + 518 + 76 + 4 + 9 + 44 = 666.

It can be written as a sum of positive squares in only one way, i.e., 77499878544 + 1018886400 = 278388^2 + 31920^2 .

It is a super-2 number, since 2×78518764944² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (78518764949) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 63887722 + ... + 63888950.

Almost surely, 2^78518764944 is an apocalyptic number.

78518764944 is the 280212-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78518764944

78518764944 is an abundant number, since it is smaller than the sum of its proper divisors (153587735409).

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

78518764944 is a wasteful number, since it uses less digits than its factorization.

78518764944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2510 (or 1253 counting only the distinct ones).

The product of its digits is 54190080, while the sum is 63.

The spelling of 78518764944 in words is "seventy-eight billion, five hundred eighteen million, seven hundred sixty-four thousand, nine hundred forty-four".