164910275281152 has 1152 divisors, whose sum is σ = 519211843584000. Its totient is φ = 51559732224000.

The previous prime is 164910275281133. The next prime is 164910275281249. The reversal of 164910275281152 is 251182572019461.

164910275281152 is a `hidden beast` number, since 1 + 6 + 4 + 9 + 102 + 7 + 528 + 1 + 1 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 275309307349 + ... + 275309307947.

Almost surely, 2^{164910275281152} is an apocalyptic number.

164910275281152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164910275281152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259605921792000).

164910275281152 is an abundant number, since it is smaller than the sum of its proper divisors (354301568302848).

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

164910275281152 is a wasteful number, since it uses less digits than its factorization.

164910275281152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1000 (or 980 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 54.

The spelling of 164910275281152 in words is "one hundred sixty-four trillion, nine hundred ten billion, two hundred seventy-five million, two hundred eighty-one thousand, one hundred fifty-two".