82214936991460 has 192 divisors, whose sum is σ = 220158081368064. Its totient is φ = 25087407091200.

The previous prime is 82214936991437. The next prime is 82214936991557. The reversal of 82214936991460 is 6419963941228.

It is a super-2 number, since 2×82214936991460² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 82214936991392 and 82214936991401.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12601269 + ... + 17978371.

It is an arithmetic number, because the mean of its divisors is an integer number (1146656673792).

Almost surely, 2^{82214936991460} 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 82214936991460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110079040684032).

82214936991460 is an abundant number, since it is smaller than the sum of its proper divisors (137943144376604).

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

82214936991460 is a wasteful number, since it uses less digits than its factorization.

82214936991460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5377434 (or 5377432 counting only the distinct ones).

The product of its (nonzero) digits is 40310784, while the sum is 64.

The spelling of 82214936991460 in words is "eighty-two trillion, two hundred fourteen billion, nine hundred thirty-six million, nine hundred ninety-one thousand, four hundred sixty".