48100147672329 has 45 divisors (see below), whose sum is σ = 73567279875639. Its totient is φ = 31319278663680.

The previous prime is 48100147672289. The next prime is 48100147672351. The reversal of 48100147672329 is 92327674100184.

The square root of 48100147672329 is 6935427.

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

48100147672329 is a `hidden beast` number, since 4 + 8 + 100 + 147 + 6 + 72 + 329 = 666.

It can be written as a sum of positive squares in only one way, i.e., 647337712329 + 47452809960000 = 804573^2 + 6888600^2 .

It is not a de Polignac number, because 48100147672329 - 2⁷ = 48100147672201 is a prime.

It is a super-3 number, since 3×48100147672329³ (a number of 42 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (48100147672429) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 2684001289 + ... + 2684019209.

Almost surely, 2^{48100147672329} is an apocalyptic number.

48100147672329 is the 6935427-th square number.

48100147672329 is the 3467714-th centered octagonal number.

It is an amenable number.

48100147672329 is a deficient number, since it is larger than the sum of its proper divisors (25467132203310).

48100147672329 is an frugal number, since it uses more digits than its factorization.

48100147672329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35940 (or 17967 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 48100147672329 in words is "forty-eight trillion, one hundred billion, one hundred forty-seven million, six hundred seventy-two thousand, three hundred twenty-nine".