82694952198144 has 1008 divisors, whose sum is σ = 298794154804704. Its totient is φ = 21770167910400.

The previous prime is 82694952198137. The next prime is 82694952198167. The reversal of 82694952198144 is 44189125949628.

It is a happy number.

82694952198144 is a `hidden beast` number, since 8 + 2 + 6 + 9 + 4 + 9 + 521 + 98 + 1 + 4 + 4 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2330008239 + ... + 2330043729.

Almost surely, 2^{82694952198144} 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 82694952198144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149397077402352).

82694952198144 is an abundant number, since it is smaller than the sum of its proper divisors (216099202606560).

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

82694952198144 is a wasteful number, since it uses less digits than its factorization.

82694952198144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35577 (or 35537 counting only the distinct ones).

The product of its digits is 358318080, while the sum is 72.

The spelling of 82694952198144 in words is "eighty-two trillion, six hundred ninety-four billion, nine hundred fifty-two million, one hundred ninety-eight thousand, one hundred forty-four".