77016137346016 has 192 divisors, whose sum is σ = 173556649728000. Its totient is φ = 33324574556160.

The previous prime is 77016137346011. The next prime is 77016137346037. The reversal of 77016137346016 is 61064373161077.

It is a super-2 number, since 2×77016137346016² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77016137346011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1835750896 + ... + 1835792848.

It is an arithmetic number, because the mean of its divisors is an integer number (903940884000).

Almost surely, 2^{77016137346016} 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 77016137346016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86778324864000).

77016137346016 is an abundant number, since it is smaller than the sum of its proper divisors (96540512381984).

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

77016137346016 is a wasteful number, since it uses less digits than its factorization.

77016137346016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45057 (or 45049 counting only the distinct ones).

The product of its (nonzero) digits is 2667168, while the sum is 52.

The spelling of 77016137346016 in words is "seventy-seven trillion, sixteen billion, one hundred thirty-seven million, three hundred forty-six thousand, sixteen".