2148516510231 has 48 divisors (see below), whose sum is σ = 3704496488448. Its totient is φ = 1096725873600.

The previous prime is 2148516510187. The next prime is 2148516510247. The reversal of 2148516510231 is 1320156158412.

It is not a de Polignac number, because 2148516510231 - 2⁷ = 2148516510103 is a prime.

It is a super-3 number, since 3×2148516510231³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 2148516510231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2148516510271) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18074455 + ... + 18192936.

It is an arithmetic number, because the mean of its divisors is an integer number (77177010176).

Almost surely, 2^{2148516510231} is an apocalyptic number.

2148516510231 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2148516510231 is a deficient number, since it is larger than the sum of its proper divisors (1555979978217).

2148516510231 is a wasteful number, since it uses less digits than its factorization.

2148516510231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36267452 (or 36267445 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 39.

The spelling of 2148516510231 in words is "two trillion, one hundred forty-eight billion, five hundred sixteen million, five hundred ten thousand, two hundred thirty-one".