164117072461000 has 256 divisors, whose sum is σ = 403014759413760. Its totient is φ = 62486590233600.

The previous prime is 164117072460937. The next prime is 164117072461021. The reversal of 164117072461000 is 164270711461.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 680346409 + ... + 680587591.

It is an arithmetic number, because the mean of its divisors is an integer number (1574276403960).

Almost surely, 2^{164117072461000} is an apocalyptic number.

164117072461000 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 164117072461000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201507379706880).

164117072461000 is an abundant number, since it is smaller than the sum of its proper divisors (238897686952760).

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

164117072461000 is a wasteful number, since it uses less digits than its factorization.

164117072461000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241641 (or 241627 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 40.

The spelling of 164117072461000 in words is "one hundred sixty-four trillion, one hundred seventeen billion, seventy-two million, four hundred sixty-one thousand".