172973462449536 has 576 divisors, whose sum is σ = 593289366228000. Its totient is φ = 49204794138624.

The previous prime is 172973462449523. The next prime is 172973462449561. The reversal of 172973462449536 is 635944264379271.

172973462449536 is a `hidden beast` number, since 1 + 7 + 2 + 9 + 7 + 3 + 46 + 2 + 4 + 49 + 536 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

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, 1346147980 + ... + 1346276468.

Almost surely, 2^{172973462449536} is an apocalyptic number.

172973462449536 is a gapful number since it is divisible by the number (16) 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 172973462449536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296644683114000).

172973462449536 is an abundant number, since it is smaller than the sum of its proper divisors (420315903778464).

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

172973462449536 is an frugal number, since it uses more digits than its factorization.

172973462449536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128763 (or 128730 counting only the distinct ones).

The product of its digits is 1646023680, while the sum is 72.

The spelling of 172973462449536 in words is "one hundred seventy-two trillion, nine hundred seventy-three billion, four hundred sixty-two million, four hundred forty-nine thousand, five hundred thirty-six".