82249006464 has 96 divisors (see below), whose sum is σ = 236736879600. Its totient is φ = 27409757184.

The previous prime is 82249006391. The next prime is 82249006471. The reversal of 82249006464 is 46460094228.

82249006464 is a `hidden beast` number, since 82 + 24 + 90 + 0 + 6 + 464 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×82249006464² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8242182 + ... + 8252154.

Almost surely, 2^82249006464 is an apocalyptic number.

It is an amenable number.

82249006464 is an abundant number, since it is smaller than the sum of its proper divisors (154487873136).

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

82249006464 is a wasteful number, since it uses less digits than its factorization.

82249006464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17152 (or 17137 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 82249006464 in words is "eighty-two billion, two hundred forty-nine million, six thousand, four hundred sixty-four".