172540174270464 has 3040 divisors, whose sum is σ = 710532532846080. Its totient is φ = 40785621811200.

The previous prime is 172540174270463. The next prime is 172540174270469. The reversal of 172540174270464 is 464072471045271.

172540174270464 is a `hidden beast` number, since 1 + 7 + 2 + 5 + 4 + 0 + 174 + 2 + 7 + 0 + 464 = 666.

It is a super-2 number, since 2×172540174270464² (a number of 29 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 172540174270464.

It is not an unprimeable number, because it can be changed into a prime (172540174270463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2430143299549 + ... + 2430143299619.

Almost surely, 2^{172540174270464} is an apocalyptic number.

172540174270464 is a gapful number since it is divisible by the number (14) 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 172540174270464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355266266423040).

172540174270464 is an abundant number, since it is smaller than the sum of its proper divisors (537992358575616).

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

172540174270464 is an frugal number, since it uses more digits than its factorization.

172540174270464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 10536960, while the sum is 54.

The spelling of 172540174270464 in words is "one hundred seventy-two trillion, five hundred forty billion, one hundred seventy-four million, two hundred seventy thousand, four hundred sixty-four".