164412311011245 has 288 divisors, whose sum is σ = 337569628032000. Its totient is φ = 73788125368320.

The previous prime is 164412311011229. The next prime is 164412311011261. The reversal of 164412311011245 is 542110113214461.

164412311011245 is a `hidden beast` number, since 1 + 6 + 4 + 412 + 3 + 110 + 1 + 124 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (164412311011229) and next prime (164412311011261).

It is not a de Polignac number, because 164412311011245 - 2⁴ = 164412311011229 is a prime.

It is a super-3 number, since 3×164412311011245³ (a number of 44 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 523701081 + ... + 524014929.

It is an arithmetic number, because the mean of its divisors is an integer number (1172116764000).

Almost surely, 2^{164412311011245} is an apocalyptic number.

164412311011245 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

164412311011245 is an abundant number, since it is smaller than the sum of its proper divisors (173157317020755).

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

164412311011245 is a wasteful number, since it uses less digits than its factorization.

164412311011245 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314041 (or 314027 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 164412311011245 in words is "one hundred sixty-four trillion, four hundred twelve billion, three hundred eleven million, eleven thousand, two hundred forty-five".