172401004944 has 135 divisors (see below), whose sum is σ = 561369731403. Its totient is φ = 49247464896.

The previous prime is 172401004819. The next prime is 172401005009. The reversal of 172401004944 is 449400104271.

The square root of 172401004944 is 415212.

It is a perfect power (a square), and thus also a powerful number.

172401004944 is a `hidden beast` number, since 172 + 401 + 0 + 0 + 49 + 44 = 666.

It is a super-2 number, since 2×172401004944² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 172401004899 and 172401004908.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 34875337 + ... + 34880279.

Almost surely, 2^172401004944 is an apocalyptic number.

172401004944 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

172401004944 is the 415212-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 172401004944

172401004944 is an abundant number, since it is smaller than the sum of its proper divisors (388968726459).

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

172401004944 is an frugal number, since it uses more digits than its factorization.

172401004944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9914 (or 4955 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

Multiplying 172401004944 by its sum of digits (36), we get a square (6206436177984 = 2491272²).

172401004944 divided by its sum of digits (36) gives a square (4788916804 = 69202²).

The spelling of 172401004944 in words is "one hundred seventy-two billion, four hundred one million, four thousand, nine hundred forty-four".