52145123904 has 42 divisors (see below), whose sum is σ = 149464584230. Its totient is φ = 17381707776.

The previous prime is 52145123897. The next prime is 52145123951. The reversal of 52145123904 is 40932154125.

52145123904 is a `hidden beast` number, since 5 + 214 + 51 + 2 + 390 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 50895360000 + 1249763904 = 225600^2 + 35352^2 .

It is a super-2 number, since 2×52145123904² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 45264289 + ... + 45265440.

Almost surely, 2^52145123904 is an apocalyptic number.

It is an amenable number.

52145123904 is an abundant number, since it is smaller than the sum of its proper divisors (97319460326).

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

52145123904 is a wasteful number, since it uses less digits than its factorization.

52145123904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90529747 (or 90529734 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 52145123904 in words is "fifty-two billion, one hundred forty-five million, one hundred twenty-three thousand, nine hundred four".