78216245136 has 240 divisors, whose sum is σ = 233627546880. Its totient is φ = 25317411840.

The previous prime is 78216245123. The next prime is 78216245203. The reversal of 78216245136 is 63154261287.

78216245136 is a `hidden beast` number, since 7 + 8 + 2 + 1 + 624 + 5 + 13 + 6 = 666.

It is a super-2 number, since 2×78216245136² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 78216245091 and 78216245100.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38097486 + ... + 38099538.

It is an arithmetic number, because the mean of its divisors is an integer number (973448112).

Almost surely, 2^78216245136 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 78216245136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116813773440).

78216245136 is an abundant number, since it is smaller than the sum of its proper divisors (155411301744).

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

78216245136 is a wasteful number, since it uses less digits than its factorization.

78216245136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2356 (or 2338 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The spelling of 78216245136 in words is "seventy-eight billion, two hundred sixteen million, two hundred forty-five thousand, one hundred thirty-six".