2114164157625 has 48 divisors (see below), whose sum is σ = 4104297379728. Its totient is φ = 1040819270400.

The previous prime is 2114164157621. The next prime is 2114164157647. The reversal of 2114164157625 is 5267514614112.

2114164157625 is a `hidden beast` number, since 2 + 1 + 1 + 4 + 1 + 6 + 4 + 15 + 7 + 625 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 643467082896 + 1470697074729 = 802164^2 + 1212723^2 .

It is not a de Polignac number, because 2114164157625 - 2² = 2114164157621 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2114164157621) 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, 72264492 + ... + 72293741.

It is an arithmetic number, because the mean of its divisors is an integer number (85506195411).

Almost surely, 2^{2114164157625} is an apocalyptic number.

2114164157625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2114164157625 is a deficient number, since it is larger than the sum of its proper divisors (1990133222103).

2114164157625 is a wasteful number, since it uses less digits than its factorization.

2114164157625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144558267 (or 144558254 counting only the distinct ones).

The product of its digits is 403200, while the sum is 45.

The spelling of 2114164157625 in words is "two trillion, one hundred fourteen billion, one hundred sixty-four million, one hundred fifty-seven thousand, six hundred twenty-five".