77045716430046 has 96 divisors (see below), whose sum is σ = 205461507276480. Its totient is φ = 20319129925632.

The previous prime is 77045716430009. The next prime is 77045716430051. The reversal of 77045716430046 is 64003461754077.

It is a happy number.

77045716430046 is a `hidden beast` number, since 7 + 7 + 0 + 4 + 571 + 64 + 3 + 0 + 0 + 4 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 77045716429974 and 77045716430001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54318606 + ... + 55718958.

It is an arithmetic number, because the mean of its divisors is an integer number (2140224034130).

Almost surely, 2^{77045716430046} is an apocalyptic number.

77045716430046 is an abundant number, since it is smaller than the sum of its proper divisors (128415790846434).

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

77045716430046 is a wasteful number, since it uses less digits than its factorization.

77045716430046 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1433970 (or 1433967 counting only the distinct ones).

The product of its (nonzero) digits is 11854080, while the sum is 54.

The spelling of 77045716430046 in words is "seventy-seven trillion, forty-five billion, seven hundred sixteen million, four hundred thirty thousand, forty-six".