48180222121437 has 72 divisors (see below), whose sum is σ = 81126793776600. Its totient is φ = 27473448215808.

The previous prime is 48180222121433. The next prime is 48180222121523. The reversal of 48180222121437 is 73412122208184.

48180222121437 is a `hidden beast` number, since 4 + 8 + 180 + 2 + 22 + 12 + 1 + 437 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 25700732628921 + 22479489492516 = 5069589^2 + 4741254^2 .

It is not a de Polignac number, because 48180222121437 - 2² = 48180222121433 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 48180222121392 and 48180222121401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48180222121433) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2260167703 + ... + 2260189019.

It is an arithmetic number, because the mean of its divisors is an integer number (1126761024675).

Almost surely, 2^{48180222121437} is an apocalyptic number.

It is an amenable number.

48180222121437 is a deficient number, since it is larger than the sum of its proper divisors (32946571655163).

48180222121437 is a wasteful number, since it uses less digits than its factorization.

48180222121437 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31915 (or 31905 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 48180222121437 in words is "forty-eight trillion, one hundred eighty billion, two hundred twenty-two million, one hundred twenty-one thousand, four hundred thirty-seven".