172890451936224 has 240 divisors, whose sum is σ = 554707604094336. Its totient is φ = 52389402220800.

The previous prime is 172890451936201. The next prime is 172890451936247. The reversal of 172890451936224 is 422639154098271.

It is a happy number.

172890451936224 is a `hidden beast` number, since 1 + 7 + 2 + 8 + 90 + 4 + 519 + 3 + 6 + 2 + 24 = 666.

172890451936224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (172890451936201) and next prime (172890451936247).

It is a super-2 number, since 2×172890451936224² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1154290459 + ... + 1154440229.

It is a 1-persistent number, because it is pandigital, but 2⋅172890451936224 = 345780903872448 is not.

Almost surely, 2^{172890451936224} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 172890451936224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277353802047168).

172890451936224 is an abundant number, since it is smaller than the sum of its proper divisors (381817152158112).

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

172890451936224 is a wasteful number, since it uses less digits than its factorization.

172890451936224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190291 (or 190274 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 172890451936224 in words is "one hundred seventy-two trillion, eight hundred ninety billion, four hundred fifty-one million, nine hundred thirty-six thousand, two hundred twenty-four".