27948348153 has 24 divisors (see below), whose sum is σ = 44045670240. Its totient is φ = 16936143360.

The previous prime is 27948348151. The next prime is 27948348163. The reversal of 27948348153 is 35184384972.

It is a happy number.

27948348153 is a `hidden beast` number, since 2 + 7 + 9 + 483 + 4 + 8 + 153 = 666.

It is not a de Polignac number, because 27948348153 - 2¹ = 27948348151 is a prime.

It is a super-2 number, since 2×27948348153² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 27948348153.

It is not an unprimeable number, because it can be changed into a prime (27948348151) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1019338 + ... + 1046396.

It is an arithmetic number, because the mean of its divisors is an integer number (1835236260).

Almost surely, 2^27948348153 is an apocalyptic number.

It is an amenable number.

27948348153 is a deficient number, since it is larger than the sum of its proper divisors (16097322087).

27948348153 is a wasteful number, since it uses less digits than its factorization.

27948348153 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37509 (or 37506 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The spelling of 27948348153 in words is "twenty-seven billion, nine hundred forty-eight million, three hundred forty-eight thousand, one hundred fifty-three".