164855154816 has 576 divisors, whose sum is σ = 560257621560. Its totient is φ = 46324776960.

The previous prime is 164855154811. The next prime is 164855154823. The reversal of 164855154816 is 618451558461.

It is a happy number.

164855154816 is a `hidden beast` number, since 1 + 6 + 4 + 8 + 551 + 5 + 4 + 81 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 154524465216 + 10330689600 = 393096^2 + 101640^2 .

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164855154811) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 172984996 + ... + 172985948.

Almost surely, 2^164855154816 is an apocalyptic number.

164855154816 is a gapful number since it is divisible by the number (16) 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 164855154816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280128810780).

164855154816 is an abundant number, since it is smaller than the sum of its proper divisors (395402466744).

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

164855154816 is a wasteful number, since it uses less digits than its factorization.

164855154816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1085 (or 1059 counting only the distinct ones).

The product of its digits is 4608000, while the sum is 54.

The spelling of 164855154816 in words is "one hundred sixty-four billion, eight hundred fifty-five million, one hundred fifty-four thousand, eight hundred sixteen".