164683450400400 has 360 divisors, whose sum is σ = 573458105123904. Its totient is φ = 43764964070400.

The previous prime is 164683450400377. The next prime is 164683450400461. The reversal of 164683450400400 is 4004054386461.

164683450400400 is a `hidden beast` number, since 1 + 6 + 46 + 83 + 450 + 40 + 0 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 9660544677 + ... + 9660561723.

Almost surely, 2^{164683450400400} is an apocalyptic number.

164683450400400 is a gapful number since it is divisible by the number (10) 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 164683450400400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286729052561952).

164683450400400 is an abundant number, since it is smaller than the sum of its proper divisors (408774654723504).

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

164683450400400 is a wasteful number, since it uses less digits than its factorization.

164683450400400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26119 (or 26105 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 164683450400400 in words is "one hundred sixty-four trillion, six hundred eighty-three billion, four hundred fifty million, four hundred thousand, four hundred".